# zbMATH — the first resource for mathematics

## Optimization

### A Journal of Mathematical Programming and Operations Research

 Short Title: Optimization Publisher: Taylor & Francis, Abingdon, Oxfordshire ISSN: 0233-1934; 1029-4945/e Online: http://www.tandfonline.com/loi/gopt20 Predecessor: Mathematische Operationsforschung und Statistik. Series Optimization Comments: Indexed cover-to-cover
 Documents Indexed: 2,859 Publications (since 1985) References Indexed: 2,661 Publications with 58,613 References.
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#### Latest Issues

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#### Authors

 35 Yao, Jen-Chih 33 Tammer, Christiane 29 Martínez-Legaz, Juan-Enrique 28 Dempe, Stephan 21 Pallaschke, Diethard 20 Craven, Bruce Desmond 20 Weber, Gerhard-Wilhelm 19 Mordukhovich, Boris S. 19 Yang, Xiaoqi 18 Singer, Ivan 15 Penot, Jean-Paul 15 Rubinov, Alexander M. 14 Huang, Nan-Jing 14 Zalmai, G. J. 13 Hoàng Xuân Phù 13 Iusem, Alfredo Noel 13 Urbański, Ryszard 13 Zaslavski, Alexander Yakovlevich 12 Ansari, Qamrul Hasan 12 Boţ, Radu Ioan 12 Fang, Shu-Cherng 12 Grzybowski, Jerzy 12 López-Cerdá, Marco Antonio 12 Reich, Simeon 12 Vũ Ngoc Phát 11 Khan, Akhtar Ali 11 Mishra, Shashi Kant 11 Tichatschke, Rainer 11 Werner, Frank 10 Ceng, Lu-Chuan 10 Dutta, Joydeep 10 Gadhi, Nazih Abderrazzak 10 Jeyakumar, Vaithilingam 10 Jörnsten, Kurt O. 10 Kaplan, Aleksander A. 10 Köbis, Elisabeth 10 Konnov, Igor V. 10 Phan Quôc Khánh 10 Scheithauer, Guntram 10 Shehu, Yekini 10 Tuy, Hoang 10 Wen, Chingfeng 10 Zălinescu, Constantin 10 Zlobec, Sanjo 9 Cegielski, Andrzej 9 Flåm, Sjur Didrik 9 Jongen, Hubertus Th. 9 Mehlitz, Patrick 9 Pappalardo, Massimo 9 Pardalos, Panos M. 9 Pini, Rita 9 Qin, Xiaolong 9 Terlaky, Tamás 9 Yang, Xinmin 9 Yao, Yonghong 8 Dong, Qiaoli 8 Fritzsche, Bernd 8 Kirstein, Bernd 8 Kumam, Poom 8 Le Thi, Hoai An 8 Löhne, Andreas 8 Noor, Muhammad Aslam 8 Puri, Munish C. 8 Rückmann, Jan-Joachim 8 Soleimani-damaneh, Majid 8 Wang, Fenghui 8 Nguyen Dong Yen 7 Chandra, Suresh 7 Dang Van Hieu 7 Deweß, Günter 7 Dinh The Luc 7 Do Van Luu 7 Elster, Karl-Heinz 7 Elster, Rosalind 7 Fang, Yaping 7 Goberna, Miguel Angel 7 Grossmann, Christian 7 Hu, Qiying 7 Lalitha, C. S. 7 Liou, Yeongcheng 7 Marti, Kurt 7 Muu, Le Dung 7 Nanda, Sudarsan 7 Oliveira, Paulo Roberto 7 Sosa, Wilfredo 7 Teo, Kok Lay 7 Wang, Shouyang 7 Wanka, Gert 6 Bagirov, Adil M. 6 Beliakov, Gleb 6 Burachik, Regina Sandra 6 Cánovas, María Josefa 6 Demyanov, Vladimir Fedorovich 6 Dương Việt Thông 6 Gaudioso, Manlio 6 Ginchev, Ivan G. 6 Graña Drummond, L. M. 6 Grygarova, Libuse 6 Guddat, Jürgen 6 Han, Yu ...and 2,834 more Authors
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#### Fields

 2,117 Operations research, mathematical programming (90-XX) 1,008 Calculus of variations and optimal control; optimization (49-XX) 479 Numerical analysis (65-XX) 281 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 270 Operator theory (47-XX) 187 Real functions (26-XX) 157 Systems theory; control (93-XX) 132 Probability theory and stochastic processes (60-XX) 111 Convex and discrete geometry (52-XX) 78 Functional analysis (46-XX) 63 Computer science (68-XX) 61 Combinatorics (05-XX) 61 General topology (54-XX) 61 Global analysis, analysis on manifolds (58-XX) 52 Ordinary differential equations (34-XX) 51 Statistics (62-XX) 48 General and overarching topics; collections (00-XX) 43 Partial differential equations (35-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 23 Approximations and expansions (41-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Mechanics of deformable solids (74-XX) 12 Integral equations (45-XX) 12 Information and communication theory, circuits (94-XX) 11 Biology and other natural sciences (92-XX) 10 History and biography (01-XX) 10 Mathematical logic and foundations (03-XX) 10 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 4 Fluid mechanics (76-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

2,023 Publications have been cited 14,019 times in 9,477 Documents Cited by Year
A special Newton-type optimization method. Zbl 0814.65063
Fischer, A.
1992
Solving monotone inclusions via compositions of nonexpansive averaged operators. Zbl 1153.47305
Combettes, Patrick L.
2004
Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization. Zbl 0883.47063
Censor, Y.; Reich, S.
1996
Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints. Zbl 1140.90493
Dempe, Stephan
2003
Extragradient algorithms extended to equilibrium problems. Zbl 1152.90564
Tran, D. Quoc; Dung, M. Le; Nguyen, Van Hien
2008
A variant of Korpelevich’s method for variational inequalities with a new search strategy. Zbl 0891.90135
Iusem, A. N.; Svaiter, B. F.
1997
Proximal point algorithm on Riemannian manifolds. Zbl 1013.49024
Ferreira, O. P.; Oliveira, P. R.
2002
Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Zbl 1260.65056
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Optimality conditions for bilevel programming problems. Zbl 0820.65032
Ye, J. J.; Zhu, D. L.
1995
Invexity and generalized convexity. Zbl 0731.26009
Pini, Rita
1991
Iterative algorithms for equilibrium problems. Zbl 1176.90640
Iusem, Alfredo N.; Sosa, Wilfredo
2003
A generalization of Ekeland’s variational principle. Zbl 0817.90098
Tammer, Chr.
1992
Stochastic mathematical programs with equilibrium constraints, modelling and sample average approximation. Zbl 1145.90047
Shapiro, Alexander; Xu, Huifu
2008
On sequential optimality conditions for smooth constrained optimization. Zbl 1225.90123
Andreani, Roberto; Haeser, Gabriel; Martínez, J. M.
2011
Quasiconvex duality theory by generalized conjugation methods. Zbl 0671.49015
Martínez-Legaz, J. E.
1988
Nonlinear impulsive integro-differential equations of mixed type and optimal controls. Zbl 1101.45002
Wei, W.; Xiang, X.; Peng, Y.
2006
On the proximal point method for equilibrium problems in Hilbert spaces. Zbl 1206.90212
Iusem, Alfredo N.; Sosa, Wilfredo
2010
Combining the proximal algorithm and Tikhonov regularization. Zbl 0863.49018
Lehdili, N.; Moudafi, A.
1996
Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming. Zbl 1121.49017
Mordukhovich, B. S.; Nam, N. M.; Yen, N. D.
2006
Full convergence of the steepest descent method with inexact line searches. Zbl 0821.90089
Burachik, R.; Graña Drummond, L. M.; Iusem, A. N.; Svaiter, B. F.
1995
Sensitivity for parametric vector equilibria. Zbl 1149.90156
Bianchi, Monica; Pini, Rita
2006
A hybrid extragradient method extended to fixed point problems and equilibrium problems. Zbl 1290.90084
Anh, Pham Ngoc
2013
Stability for convex vector optimization problems. Zbl 1153.90536
Lucchetti, R. E.; Miglierina, E.
2004
Nondifferentiable optimization by smooth approximations. Zbl 0591.49016
Craven, B. D.
1986
A necessary and a sufficient optimality condition for bilevel programming problems. Zbl 0817.90104
Dempe, S.
1992
New necessary optimality conditions in optimistic bilevel programming. Zbl 1172.90481
Dempe, S.; Dutta, J.; Mordukhovich, B. S.
2007
Convexlike alternative theorems and mathematical programming. Zbl 0581.90079
Jeyakumar, V.
1985
Operations on convergent families of sets and functions. Zbl 0719.49013
Azé, D.; Penot, J.-P.
1990
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
2001
What is quasiconvex analysis? Zbl 0963.49013
Penot, Jean-Paul
2000
Variational-like inequalities. Zbl 0816.49005
Noor, M. Aslam
1994
Error bounds and metric subregularity. Zbl 1311.49043
Kruger, Alexander Y.
2015
A survey of recent [1985–1995] advances in generalized convexity with applications to duality theory and optimality conditions. Zbl 0872.90074
Pini, R.; Singh, C.
1997
On Lagrange-Kuhn-Tucker multipliers for multiobjective optimization problems. Zbl 0882.90114
Amahroq, T.; Taa, A.
1997
A convergent criss-cross method. Zbl 0581.90052
Terlaky, T.
1985
The extragradient algorithm with inertial effects for solving the variational inequality. Zbl 1358.90139
Dong, Qiao-Li; Lu, Yan-Yan; Yang, Jinfeng
2016
A new approach to Tikhonov well-posedness for Nash equilibria. Zbl 0881.90136
Margiocco, M.; Patrone, F.; Pusillo Chicco, L.
1997
Variable metric forward-backward splitting with applications to monotone inclusions in duality. Zbl 1309.90109
Combettes, Patrick L.; Vũ, Băng C.
2014
Stability and regularization of vector problems of integer linear programming. Zbl 1109.90325
Emelichev, V. A.; Girlich, E.; Nikulin, Yu. V.; Podkopaev, D. P.
2002
On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397
Flegel, Michael L.; Kanzow, Christian
2005
A subgradient-type method for the equilibrium problem over the fixed point set and its applications. Zbl 1158.47312
2009
Maximal monotonicity of bifunctions. Zbl 1250.47050
2010
On the lower semicontinuity of optimal solution sets. Zbl 1141.90551
Kien, B. T.
2005
Linear convergence of the Douglas-Rachford method for two closed sets. Zbl 1334.49089
Phan, Hung M.
2016
Generalized second-order directional derivatives and optimization with $$C^{1,1}$$ functions. Zbl 0814.49012
Yang, X. Q.; Jeyakumar, V.
1992
The split common null point problem and the shrinking projection method in Banach spaces. Zbl 1338.47110
Takahashi, Satoru; Takahashi, Wataru
2016
Fuzzy necessary optimality conditions for vector optimization problems. Zbl 1162.90597
Durea, Marius; Tammer, Christiane
2009
Radial epiderivatives and set-valued optimization. Zbl 1175.90316
Kasimbeyli, Refail
2009
On second-order sufficient optimality conditions for $$C^{1,1}$$- optimization problems. Zbl 0647.49014
Klatte, D.; Tammer, K.
1988
Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms. Zbl 1326.47104
Zhao, Jing
2015
$$\mathbb{B}$$-convexity. Zbl 1144.90506
Briec, Walter; Horvath, Charles
2004
Semi-infinite programming, duality, discretization and optimality conditions. Zbl 1158.90410
Shapiro, Alexander
2009
New results on approximate solutions in two-level optimization. Zbl 0684.90089
Loridan, P.; Morgan, Jacqueline
1989
Exhausters of a positively homogeneous function. Zbl 0954.90050
Demyanov, V. F.
1999
Statistical cluster points and turnpike. Zbl 0963.40002
Pehlivan, Serpil; Mamedov, Musa A.
2000
Generalized $$(F,\rho)$$-convexity and duality for nonsmooth multi- objective programs. Zbl 0819.90082
Bhatia, D.; Jain, P.
1994
Optimality and duality for invex nonsmooth multiobjective programming problems. Zbl 1144.90477
Kim, Do Sang; Schaible, Siegfried
2004
A closedness condition and its applications to DC programs with convex constraints. Zbl 1218.90155
Dinh, N.; Nghia, T. T. A.; Vallet, G.
2010
A new iterative algorithm for the variational inequality problem over the fixed point set of a firmly nonexpansive mapping. Zbl 1236.47064
Iiduka, Hideaki
2010
A modified Korpelevich’s method convergent to the minimum-norm solution of a variational inequality. Zbl 06315984
Yao, Yonghong; Marino, Giuseppe; Muglia, Luigi
2014
On relaxed constant rank regularity condition in mathematical programming. Zbl 1250.90093
Minchenko, Leonid; Stakhovski, Sergey
2011
A unified vector optimization problem: complete scalarizations and applications. Zbl 1266.90162
Flores-Bazán, Fabián; Hernández, Elvira
2011
Convexifactors, generalized convexity and vector optimization. Zbl 1079.90104
Dutta, J.; Chandra, S.
2004
On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space. Zbl 06417957
Vuong, Phan Tu; Strodiot, Jean Jacques; Nguyen, Van Hien
2015
Alternate step gradient method. Zbl 1056.65055
Dai, Yu-Hong
2003
Vector variational-like inequality with pseudoinvexity. Zbl 1134.49005
Yang, X. M.; Yang, X. Q.
2006
Lipschitz properties of the scalarization function and applications. Zbl 1211.90220
Tammer, Christiane; Zălinescu, Constantin
2010
On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560
Hoheisel, Tim; Kanzow, Christian
2009
Necessary optimality conditions in pessimistic bilevel programming. Zbl 1302.90206
Dempe, S.; Mordukhovich, B. S.; Zemkoho, A. B.
2014
Second order optimality conditions for generalized semi-infinite programming problems. Zbl 0855.90129
Hettich, R.; Still, G.
1995
On some Fermat rules for set-valued optimization problems. Zbl 1251.90351
Durea, M.; Strugariu, R.
2011
A bilinear approach to the pooling problem. Zbl 0817.90073
Foulds, L. R.; Haugland, D.; Jörnsten, Kurt O.
1992
Minimum-norm solution of variational inequality and fixed point problem in Banach spaces. Zbl 1312.47088
Zegeye, Habtu; Shahzad, Naseer; Yao, Yonghong
2015
Perfect duality theory and complete solutions to a class of glocal optimization problems. Zbl 1040.49036
Gao, David Yang
2003
Inverse maximum flow and minimum cut problems. Zbl 0880.90041
Yang, C.; Zhang, J.; Ma, Z.
1997
Difference of compact sets in the sense of Demyanov and its application to non-smooth analysis. Zbl 0816.52002
Rubinov, A. M.; Akhundov, I. S.
1992
Newton-type methods with generalized distances for constrained optimization. Zbl 0905.49015
Iusem, Alfredo N.; Solodov, Michael V.
1997
A sixth bibliography of fractional programming. Zbl 1137.90300
Stancu-Minasian, I. M.
2006
New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455
Lin, Guihua; Chen, Xiaojun; Fukushima, Masao
2007
Lagrange multipliers for Pareto nonsmooth programming problems in Banach spaces. Zbl 0817.90090
El Abdouni, B.; Thibault, L.
1992
Vector variational inequalities with cone-pseudomonotone bifunctions. Zbl 1087.90069
Lalitha, C. S.; Mehta, Monika
2005
Ulam-Hyers-Mittag-Leffler stability of fractional-order delay differential equations. Zbl 1296.34034
Wang, JinRong; Zhang, Yuruo
2014
A continuous approach for globally solving linearly constrained quadratic zero-one programming problems. Zbl 1039.90050
Le Thi Hoai An; Pham Dinh Tao
2001
Stochastic programming with incomplete information: A survey of results on postoptimization and sensitivity analysis. Zbl 0637.90070
Dupačová, Jitka
1987
Existence theorems of equilibrium points in Stackelberg games with constraints. Zbl 0638.90106
Lucchetti, R.; Mignanego, F.; Pieri, G.
1987
Characterization of nonsmooth functions through their generalized gradients. Zbl 0734.49005
Ellaia, R.; Hassouni, A.
1991
Optimality conditions and duality models for a class of nonsmooth constrained fractional variational problems. Zbl 0818.90134
Zalmai, G. J.
1994
Duality for minimax programming involving $$V$$-invex functions. Zbl 0816.49028
Bector, C. R.; Chandra, S.; Kumar, V.
1994
Convexity along curves and invexity. Zbl 0816.26004
Pini, R.
1994
Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Zbl 0855.90114
Miettinen, K.; Mäkelä, M. M.
1995
Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093
Yao, Yonghong; Xu, Hong-Kun
2011
Solution concepts in vector optimization: a fresh look at an old story. Zbl 1258.90064
Heyde, Frank; Löhne, Andreas
2011
Existence conditions in variational inclusions with constraints. Zbl 1153.49305
Luc, D. T.; Tan, N. X.
2004
Extended Lagrange and penalty functions in continuous optimization. Zbl 1030.90120
Rubinov, A. M.; Glover, B. M.; Yang, X. Q.
1999
Solving the split equality problem without prior knowledge of operator norms. Zbl 1337.47086
Dong, Qiao-Li; He, Songnian; Zhao, Jing
2015
Global convergence of the BFGS algorithm with nonmonotone linesearch. Zbl 0858.90122
Liu, G.; Han, J.; Sun, D.
1995
Generalized semi-infinite programming: Numerical aspects. Zbl 1039.90083
Still, G.
2001
Polynomial time algorithms for some classes of constrained nonconvex quadratic problems. Zbl 0714.90082
Pardalos, P. M.
1990
Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028
Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias
2013
Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems. Zbl 1398.90184
Thong, Duong Viet; Hieu, Dang Van
2018
Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space. Zbl 1459.65097
Jolaoso, L. O.; Alakoya, T. O.; Taiwo, A.; Mewomo, O. T.
2021
Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems. Zbl 07339873
Alakoya, T. O.; Jolaoso, L. O.; Mewomo, O. T.
2021
Convergence rate analysis of proximal gradient methods with applications to composite minimization problems. Zbl 1459.65075
Sahu, D. R.; Yao, J. C.; Verma, M.; Shukla, K. K.
2021
Directional openness for epigraphical mappings and optimality conditions for directional efficiency. Zbl 07313469
Florea, Elena-Andreea; Maxim, Diana
2021
Iterative methods for fixed points and zero points of nonlinear mappings with applications. Zbl 07339861
Liu, Liya; Qin, Xiaolong; Agarwal, Ravi P.
2021
Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings. Zbl 07339862
Ceng, Lu-Chuan; Shang, Meijuan
2021
A new self-adaptive method for the split equality common fixed-point problem of quasi-nonexpansive mappings. Zbl 07339866
Zhao, Jing; Hou, Dingfang; Wang, Xinglong
2021
Criticality of Lagrange multipliers in extended nonlinear optimization. Zbl 1465.90105
Do, Hong; Mordukhovich, Boris S.; Sarabi, M. Ebrahim
2021
Optimal control of a fractional Sturm-Liouville problem on a star graph. Zbl 1466.49014
Mophou, Gisèle; Leugering, Günter; Fotsing, Pasquini Soh
2021
Studniarski’s derivatives and efficiency conditions for constrained vector equilibrium problems with applications. Zbl 07313461
Su, Tran Van; Hien, Nguyen Duc
2021
Convergence revisit on generalized symmetric ADMM. Zbl 1459.90149
Bai, Jianchao; Chang, Xiaokai; Li, Jicheng; Xu, Fengmin
2021
Fixed points for several classes of mappings in variable Lebesgue spaces. Zbl 07367139
Domínguez Benavides, T.; Moshtaghioun, S. M.; Sadeghi Hafshejani, A.
2021
New algorithms for the split common null point problem. Zbl 07367150
Tang, Yan
2021
On the linear convergence rate of a relaxed forward-backward splitting method. Zbl 07367151
Guo, Ke
2021
A Perry-type derivative-free algorithm for solving nonlinear system of equations and minimizing $$\ell_1$$ regularized problem. Zbl 07367155
Awwal, A. M.; Kumam, Poom; Mohammad, Hassan; Watthayu, Wiboonsak; Abubakar, A. B.
2021
Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds. Zbl 07249884
Hung, Nguyen Van; Tam, Vo Minh; Pitea, Ariana
2020
Iterative methods for solving the generalized split common null point problem in Hilbert spaces. Zbl 1445.47043
Reich, Simeon; Truong Minh Tuyen
2020
Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems. Zbl 07249882
Zhao, Xiaopeng; Yao, Yonghong
2020
Characterizations of multiobjective robustness on vectorization counterparts. Zbl 1434.90188
Wei, Hong-Zhi; Chen, Chun-Rong; Li, Sheng-Jie
2020
On probabilistic capacity maximization in a stationary gas network. Zbl 1431.90039
Heitsch, Holger
2020
Semivectorial bilevel programming versus scalar bilevel programming. Zbl 1453.49003
Dempe, Stephan; Mehlitz, Patrick
2020
Qualitative properties of the minimum sum-of-squares clustering problem. Zbl 1444.68155
Cuong, Tran Hung; Yao, Jen-Chih; Yen, Nguyen Dong
2020
A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities. Zbl 1451.49014
Fan, Jingjing; Liu, Liya; Qin, Xiaolong
2020
Six set scalarizations based on the oriented distance: properties and application to set optimization. Zbl 1464.90089
Jiménez, B.; Novo, V.; Vílchez, A.
2020
Weak, strong and linear convergence of the CQ-method via the regularity of Landweber operators. Zbl 1435.47063
Cegielski, Andrzej; Reich, Simeon; Zalas, Rafał
2020
Two projection methods for solving the multiple-set split common null point problem in Hilbert spaces. Zbl 07249879
Reich, Simeon; Tuyen, Truong Minh
2020
Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear. Zbl 1450.74030
Chen, Tao; Huang, Nan-jing; Xiao, Yi-bin
2020
On the linear independence constraint qualification in disjunctive programming. Zbl 07313432
Mehlitz, Patrick
2020
Multi-valued graph contraction principle with applications. Zbl 07271707
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2020
Convergence rate of a relaxed inertial proximal algorithm for convex minimization. Zbl 1440.49014
Attouch, Hedy; Cabot, Alexandre
2020
A robust fuzzy approach for constrained multi-product economic production quantity with imperfect items and rework process. Zbl 1434.90180
Khalilpourazari, Soheyl; Mirzazadeh, Abolfazl; Weber, Gerhard-Wilhelm; Pasandideh, Seyed Hamid Reza
2020
Gradient methods with selection technique for the multiple-sets split feasibility problem. Zbl 1441.47082
Yao, Yonghong; Postolache, Mihai; Zhu, Zhichuan
2020
Parallel proximal point methods for systems of vector optimization problems on Hadamard manifolds without convexity. Zbl 1432.90120
Ceng, L. C.; Li, X.; Qin, X.
2020
Vectorial form of Ekeland variational principle with applications to vector equilibrium problems. Zbl 1434.58004
Al-Homidan, Suliman; Ansari, Qamrul Hasan; Kassay, Gabor
2020
Dadashi, Vahid; Iyiola, Olaniyi S.; Shehu, Yekini
2020
Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty. Zbl 1451.90164
Sun, Xiangkai; Teo, Kok Lay; Zeng, Jing; Liu, Liying
2020
On the stability of approximate solutions to set-valued equilibrium problems. Zbl 07271709
Anh, Lam Quoc; Duoc, Pham Thanh; Tam, Tran Ngoc
2020
Optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem. Zbl 1453.90138
Dempe, S.; Gadhi, N.; El idrissi, M.
2020
Ekeland variational principles for set-valued functions with set perturbations. Zbl 1442.58014
Qiu, Jing-Hui; He, Fei
2020
MPCC: strongly stable C-stationary points when the number of active constraints is $$n + 1$$. Zbl 07201639
Hernández Escobar, Daniel; Rückmann, Jan-J.
2020
Solvability and optimization for a class of mixed variational problems. Zbl 1440.35114
Matei, Andaluzia; Sofonea, Mircea
2020
On the convergence of inertial two-subgradient extragradient method for variational inequality problems. Zbl 07201646
Cao, Yu; Guo, Ke
2020
A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems. Zbl 07201649
Thong, Duong Viet; Hieu, Dang Van
2020
A continuous dynamical splitting method for solving ‘strongly+weakly’ convex programming problems. Zbl 1445.47050
Zhu, Ming; Hu, Rong; Fang, Ya-Ping
2020
A parameter method for linear algebra and optimization with uncertainties. Zbl 07150149
Van Tran, Nam; Van Den Berg, Imme
2020
Generalized desirability functions: a structural and topological analysis of desirability functions. Zbl 1439.90062
Akteke-Öztürk, Başak; Weber, Gerhard-Wilhelm; Köksal, Gülser
2020
Optimality conditions for linear copositive programming problems with isolated immobile indices. Zbl 1434.90137
Kostyukova, O. I.; Tchemisova, T. V.
2020
Optimization of admission control in tandem queue with heterogeneous customers and pre-service. Zbl 1433.90050
Sun, Bin; Dudina, O. S.; Dudin, S. A.; Samouylov, K. E.
2020
Parametric analysis of semidefinite optimization. Zbl 1434.90218
2020
A vector auxiliary principle technique approach to systems of mixed vector equilibrium problems. Zbl 1439.90067
Chadli, Ouayl; Saidi, Asma; Zhao, Xiaopeng
2020
Sufficient optimality conditions and duality results for a bilevel multiobjective optimization problem via a $$\Psi$$ reformulation. Zbl 1433.90151
Gadhi, N.; Hamdaoui, K.; El Idrissi, M.
2020
A class of history-dependent differential variational inequalities with application to contact problems. Zbl 1437.35511
Migórski, Stanisław; Liu, Zhenhai; Zeng, Shengda
2020
Necessary conditions for continuous-time optimization under the Mangasarian-Fromovitz constraint qualification. Zbl 1433.90159
do Monte, Moisés Rodrigues Cirilo; de Oliveira, Valeriano Antunes
2020
The rate of convergence of proximal method of multipliers for nonlinear semidefinite programming. Zbl 1433.90166
Zhang, Yule; Wu, Jia; Zhang, Liwei
2020
On general implicit hybrid iteration method for triple hierarchical variational inequalities with hierarchical variational inequality constraints. Zbl 1447.49012
Ceng, Lu-Chuan; Köbis, Elisabeth; Zhao, Xiaopeng
2020
Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces. Zbl 1459.65096
Hieu, Dang Van; Cho, Yeol Je; Xiao, Yi-bin; Kumam, Poom
2020
On Lipschitz-like continuity of a class of set-valued mappings. Zbl 1460.90186
Bednarczuk, E. M.; Minchenko, L. I.; Rutkowski, K. E.
2020
Single projection method for pseudo-monotone variational inequality in Hilbert spaces. Zbl 1431.49009
Shehu, Yekini; Dong, Qiao-Li; Jiang, Dan
2019
Re-examination of Bregman functions and new properties of their divergences. Zbl 1407.52008
Reem, Daniel; Reich, Simeon; De Pierro, Alvaro
2019
An efficient iterative method for finding common fixed point and variational inequalities in Hilbert spaces. Zbl 07007063
Gibali, Aviv; Shehu, Yekini
2019
External and internal stability in set optimization. Zbl 1411.49010
Singla, Karuna; Lalitha, C. S.
2019
New subgradient extragradient methods for solving monotone bilevel equilibrium problems. Zbl 1430.90529
Anh, Pham Ngoc; Le Thi, Hoai An
2019
Feedback control of the acoustic pressure in ultrasonic wave propagation. Zbl 1429.49038
Bucci, Francesca; Lasiecka, Irena
2019
Nonlinear scalarizing functions in set optimization problems. Zbl 1431.90142
Han, Yu
2019
Modified Tseng’s extragradient methods for solving pseudo-monotone variational inequalities. Zbl 07122797
Thong, Duong Viet; Vuong, Phan Tu
2019
Proximal type algorithms involving linesearch and inertial technique for split variational inclusion problem in Hilbert spaces with applications. Zbl 1427.49008
Kesornprom, Suparat; Cholamjiak, Prasit
2019
On a Frank-Wolfe type theorem in cubic optimization. Zbl 1411.90276
Klatte, Diethard
2019
Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data. Zbl 1426.49040
Khan, Akhtar A.; Migorski, Stanislaw; Sama, Miguel
2019
On approximate solutions for nonsmooth robust multiobjective optimization problems. Zbl 1434.90177
Fakhar, M.; Mahyarinia, M. R.; Zafarani, J.
2019
New algorithms for the split variational inclusion problems and application to split feasibility problems. Zbl 07122803
Van Long, Luong; Viet Thong, Duong; Dung, Vu Tien
2019
The $$q$$-asymptotic function in $$c$$-convex analysis. Zbl 1436.90104
Iusem, A.; Lara, F.
2019
On some inverse 1-center location problems. Zbl 1415.90015
Nguyen, Kien Trung; Hung, Nguyen Thanh; Nguyen-Thu, Huong; Le, Tran Thu; Pham, Van Huy
2019
Existence results of semilinear differential variational inequalities without compactness. Zbl 1427.34083
Lu, Liang; Liu, Zhenhai; Motreanu, Dumitru
2019
Iteration-complexity of the subgradient method on Riemannian manifolds with lower bounded curvature. Zbl 1421.90114
Ferreira, O. P.; Louzeiro, Mauricio Silva; Prudente, L. F.
2019
Solution of bilevel optimization problems using the KKT approach. Zbl 1427.90230
Dempe, S.; Franke, S.
2019
On uniform regularity and strong regularity. Zbl 1414.49030
Cibulka, R.; Preininger, J.; Roubal, T.
2019
MPCC: on necessary conditions for the strong stability of C-stationary points. Zbl 1462.90134
Hernández Escobar, Daniel; Rückmann, Jan-J.
2019
An improved flow-based formulation and reduction principles for the minimum connectivity inference problem. Zbl 1429.90086
Dar, Muhammad Abid; Fischer, Andreas; Martinovic, John; Scheithauer, Guntram
2019
Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver. Zbl 1425.52014
Ciripoi, Daniel; Löhne, Andreas; Weißing, Benjamin
2019
Bibliography: Ninth bibliography of fractional programming. Zbl 1431.90156
Stancu-Minasian, I. M.
2019
A second-order dynamical system with Hessian-driven damping and penalty term associated to variational inequalities. Zbl 1423.49029
Boţ, Radu Ioan; Csetnek, Ernö Robert
2019
Abstract convergence theorem for quasi-convex optimization problems with applications. Zbl 1422.90057
Yu, Carisa Kwok Wai; Hu, Yaohua; Yang, Xiaoqi; Choy, Siu Kai
2019
Accelerated hybrid and shrinking projection methods for variational inequality problems. Zbl 07068093
Thong Duong Viet; Nguyen The Vinh; Dang Van Hieu
2019
Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings. Zbl 07068096
Thong, Duong Viet; Vinh, Nguyen The
2019
A variational problem determined by probability measures. Zbl 1411.93195
Artstein, Zvi
2019
On generalized Nash equilibrium problems with linear coupling constraints and mixed-integer variables. Zbl 1405.90133
Sagratella, Simone
2019
Optimal time delays in a class of reaction-diffusion equations. Zbl 1407.49025
Casas, E.; Mateos, M.; Tröltzsch, F.
2019
Mathematical programs with vanishing constraints: constraint qualifications, their applications, and a new regularization method. Zbl 1421.90137
Dussault, J.-P.; Haddou, M.; Migot, T.
2019
Optimality conditions for a class of inverse optimal control problems with partial differential equations. Zbl 1418.49025
Harder, Felix; Wachsmuth, Gerd
2019
Tolerances, robustness and parametrization of matrix properties related to optimization problems. Zbl 1431.15015
2019
A forward-backward penalty scheme with inertial effects for monotone inclusions. Applications to convex bilevel programming. Zbl 07111796
2019
Analytic approximation and differentiability of joint chance constraints. Zbl 1428.90104
Geletu, A.; Hoffmann, Armin; Li, P.
2019
The formulas for the representation of functions of two variables as a difference of sublinear functions. Zbl 1436.26010
Grzybowski, Jerzy; Pallaschke, Diethard; Urbański, Ryszard
2019
A projection and contraction method for symmetric cone complementarity problem. Zbl 1430.90531
Liu, Sanyang; Liu, Xiangjing; Chen, Junfeng
2019
A best-response approach for equilibrium selection in two-player generalized Nash equilibrium problems. Zbl 1427.49036
Dreves, Axel
2019
Homotopy method for solving mathematical programs with bounded box-constrained variational inequalities. Zbl 1430.90527
Zhang, Chunyang; Zhu, Zhichuan; Yao, Yonghong; Liu, Qinghuai
2019
Contingent derivatives and regularization for noncoercive inverse problems. Zbl 1422.90060
Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
2019
Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces. Zbl 07068092
Suantai, Suthep; Witthayarat, Uamporn; Shehu, Yekini; Cholamjiak, Prasit
2019
Strong calmness of perturbed KKT system for a class of conic programming with degenerate solutions. Zbl 1415.49020
Liu, Y. L.; Pan, S. H.
2019
Resource allocation in rooted trees for VLSI applications. Zbl 1415.90110
Wimer, Uri; Wimer, Shmuel
2019
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#### Cited by 7,576 Authors

 127 Yao, Jen-Chih 68 Phan Quôc Khánh 67 Ansari, Qamrul Hasan 66 Ceng, Lu-Chuan 66 Mishra, Shashi Kant 64 Huang, Nan-Jing 64 Noor, Muhammad Aslam 63 Yang, Xiaoqi 59 Shehu, Yekini 58 Kumam, Poom 57 Dempe, Stephan 55 Penot, Jean-Paul 53 Dang Van Hieu 46 Boţ, Radu Ioan 46 Kanzow, Christian 45 Chen, Jein-Shan 44 Jeyakumar, Vaithilingam 43 Cho, Yeol Je 43 Wen, Chingfeng 43 Zaslavski, Alexander Yakovlevich 42 Li, Shengjie 42 Yang, Xinmin 41 Novo-Sanjurjo, Vicente 41 Tammer, Christiane 40 Lee, Gue Myung 40 Martínez-Legaz, Juan-Enrique 40 Mordukhovich, Boris S. 39 Kim, Do Sang 38 Dương Việt Thông 38 Wan, Zhongping 37 Anh, Lam Quoc 35 Lin, Lai-Jiu 35 Liou, Yeongcheng 35 Mewomo, Oluwatosin Temitope 35 Reich, Simeon 34 Antczak, Tadeusz 34 Iusem, Alfredo Noel 34 Muu, Le Dung 33 Durea, Marius 33 Emelichev, Vladimir Alekseevich 33 López-Cerdá, Marco Antonio 33 Martínez, José Mario 33 Weber, Gerhard-Wilhelm 32 Goberna, Miguel Angel 31 Ahmad, Izhar 31 Gadhi, Nazih Abderrazzak 31 Gibali, Aviv 31 Oliveira, Paulo Roberto 31 Yao, Yonghong 30 Jayswal, Anurag 30 Zalmai, G. J. 29 da Cruz Neto, João Xavier 29 Dong, Qiaoli 29 Mohebi, Hossein 29 Morgan, Jacqueline 29 Nobakhtian, Soghra 28 Csetnek, Ernö Robert 28 Fang, Shu-Cherng 28 Hoàng Xuân Phù 28 Kruger, Alexander Ya. 28 Le Thi, Hoai An 28 Wang, Jinrong 27 Bauschke, Heinz H. 27 Chuong, Thai Doan 27 Gutiérrez, César 27 Singer, Ivan 27 Teo, Kok Lay 27 Trương Minh Tuyên 27 Wang, Shouyang 27 Zegeye, Habtu 26 Ferreira, Orizon Pereira 26 Jiménez, Bienvenido 26 Pham Ngoc Anh 26 Qin, Xiaolong 26 Xu, Huifu 25 Cholamjiak, Prasit 25 Kashuri, Artion 25 Lalitha, C. S. 25 Noor, Khalida Inayat 25 Qi, Liqun 25 Zălinescu, Constantin 24 Birgin, Ernesto G. 24 Chen, Jiawei 24 Liko, Rozana 24 Nahak, Chandal 24 Wangkeeree, Rabian 24 Zhang, Liwei 23 Hritonenko, Natali 23 Wu, Soon-Yi 22 Al-Homidan, Suliman S. 22 Censor, Yair 22 Dinh The Luc 22 Fang, Yaping 22 Lin, Guihua 22 Strodiot, Jean-Jacques 22 Strugariu, Radu 22 Nguyen Dong Yen 21 Do Van Luu 21 Haeser, Gabriel 21 Mehlitz, Patrick ...and 7,476 more Authors
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#### Cited in 550 Journals

 1,039 Optimization 885 Journal of Optimization Theory and Applications 513 Journal of Global Optimization 359 European Journal of Operational Research 278 Journal of Mathematical Analysis and Applications 256 Optimization Letters 222 Mathematical Programming. Series A. Series B 220 Computational Optimization and Applications 218 Numerical Functional Analysis and Optimization 203 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 153 Applied Mathematics and Computation 150 SIAM Journal on Optimization 146 Journal of Computational and Applied Mathematics 146 Annals of Operations Research 126 Journal of Inequalities and Applications 124 Optimization Methods & Software 118 Abstract and Applied Analysis 117 Set-Valued and Variational Analysis 112 Computers & Mathematics with Applications 112 Numerical Algorithms 109 Fixed Point Theory and Applications 89 Mathematical Methods of Operations Research 87 Operations Research Letters 78 Journal of Industrial and Management Optimization 68 Positivity 62 Computational and Applied Mathematics 60 Computers & Operations Research 60 Linear Algebra and its Applications 60 Journal of Applied Mathematics 55 Journal of Fixed Point Theory and Applications 52 Mathematical Problems in Engineering 52 Journal of Applied Mathematics and Computing 51 Discrete Applied Mathematics 51 Vietnam Journal of Mathematics 50 Opsearch 47 Top 43 Journal of Information & Optimization Sciences 41 Applicable Analysis 40 Bulletin of the Australian Mathematical Society 40 Set-Valued Analysis 39 Asia-Pacific Journal of Operational Research 39 Cybernetics and Systems Analysis 39 Journal of the Operations Research Society of China 38 RAIRO. Operations Research 35 Mathematical and Computer Modelling 34 Journal of Nonlinear Science and Applications 33 Fuzzy Sets and Systems 33 Applied Numerical Mathematics 31 SIAM Journal on Control and Optimization 31 Applied Mathematical Modelling 31 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 30 Applied Mathematics and Optimization 29 International Journal of Computer Mathematics 27 Acta Mathematica Vietnamica 27 Journal of Nonlinear and Variational Analysis 26 Acta Mathematicae Applicatae Sinica. English Series 25 Mathematics of Operations Research 25 Optimization and Engineering 24 Applied Mathematics Letters 23 Journal of Convex Analysis 23 Nonlinear Analysis. Theory, Methods & Applications 22 CEJOR. Central European Journal of Operations Research 21 Kybernetika 21 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 21 Afrika Matematika 20 4OR 19 Journal of Systems Science and Complexity 19 Computational Management Science 18 Automatica 18 Rendiconti del Circolo Matemàtico di Palermo. Serie II 18 Applications of Mathematics 18 Acta Mathematica Sinica. English Series 18 Journal of Function Spaces 17 Computing 17 Acta Applicandae Mathematicae 17 Journal of Scientific Computing 17 Applied Mathematics. Series B (English Edition) 17 Numerical Algebra, Control and Optimization 16 Journal of Mathematical Economics 16 Transactions of the American Mathematical Society 16 ZOR. Zeitschrift für Operations Research 16 Journal of Combinatorial Optimization 15 Calcolo 15 YUJOR. Yugoslav Journal of Operations Research 15 Journal of Applied Analysis 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 15 Advances in Difference Equations 14 International Journal of Control 14 Information Sciences 14 Proceedings of the American Mathematical Society 14 Results in Mathematics 14 International Game Theory Review 14 Arabian Journal of Mathematics 13 Demonstratio Mathematica 13 Systems & Control Letters 13 Stochastic Analysis and Applications 13 Automation and Remote Control 13 Journal of Interdisciplinary Mathematics 13 OR Spectrum 13 Mediterranean Journal of Mathematics ...and 450 more Journals
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#### Cited in 59 Fields

 6,453 Operations research, mathematical programming (90-XX) 2,956 Calculus of variations and optimal control; optimization (49-XX) 1,630 Numerical analysis (65-XX) 1,449 Operator theory (47-XX) 821 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 472 Real functions (26-XX) 292 Systems theory; control (93-XX) 287 Functional analysis (46-XX) 231 Probability theory and stochastic processes (60-XX) 231 Computer science (68-XX) 210 Convex and discrete geometry (52-XX) 209 General topology (54-XX) 205 Ordinary differential equations (34-XX) 177 Global analysis, analysis on manifolds (58-XX) 172 Partial differential equations (35-XX) 159 Statistics (62-XX) 124 Linear and multilinear algebra; matrix theory (15-XX) 96 Combinatorics (05-XX) 73 Mechanics of deformable solids (74-XX) 67 Approximations and expansions (41-XX) 58 Information and communication theory, circuits (94-XX) 48 Biology and other natural sciences (92-XX) 44 Integral equations (45-XX) 42 Order, lattices, ordered algebraic structures (06-XX) 39 Dynamical systems and ergodic theory (37-XX) 37 Sequences, series, summability (40-XX) 37 Differential geometry (53-XX) 34 Difference and functional equations (39-XX) 33 Measure and integration (28-XX) 23 Mathematical logic and foundations (03-XX) 22 Algebraic geometry (14-XX) 20 Mechanics of particles and systems (70-XX) 18 Fluid mechanics (76-XX) 17 General and overarching topics; collections (00-XX) 16 Functions of a complex variable (30-XX) 16 Special functions (33-XX) 12 History and biography (01-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Associative rings and algebras (16-XX) 10 Nonassociative rings and algebras (17-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Manifolds and cell complexes (57-XX) 7 Geometry (51-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 4 General algebraic systems (08-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 4 Optics, electromagnetic theory (78-XX) 3 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Geophysics (86-XX) 1 Group theory and generalizations (20-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)