Pham Duy Khanh; Vu, Vinh Huy Khoa; Martínez-Legaz, Juan Enrique; Mordukhovich, Boris S. Relationships between global and local monotonicity of operators. (English) Zbl 07977109 J. Convex Anal. 32, No. 2, 431-446 (2025). MSC: 26A15 47H05 49J52 49J53 54D05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cui, Xingbang; Zhang, Liping A localized progressive hedging algorithm for solving nonmonotone stochastic variational inequalities. (English) Zbl 07940074 Math. Oper. Res. 49, No. 3, 1915-1937 (2024). MSC: 90C15 90C33 90C30 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Khanh, P. D.; Khoa, V. V. H.; Mordukhovich, B. S.; Phat, V. T. Variational and strong variational convexity in infinite-dimensional variational analysis. (English) Zbl 1545.49016 SIAM J. Optim. 34, No. 3, 2756-2787 (2024). MSC: 49J52 49J53 47H05 90C30 90C46 49K40 49K27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xue, Feng On Douglas-Rachford splitting that generally fails to be a proximal mapping: a degenerate proximal point analysis. (English) Zbl 07858280 Optimization 73, No. 6, 1981-1992 (2024). MSC: 47H09 47H05 47H10 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lim, Tongseok Maximal monotonicity and cyclic involutivity of multiconjugate convex functions. (English) Zbl 07751181 SIAM J. Optim. 33, No. 4, 2489-2511 (2023). MSC: 47H05 26B25 49N15 49K30 52A01 91B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crouzeix, Jean-Pierre; Hassouni, Abdelhak; Ocaña-Anaya, Eladio Convex optimization and monotonic variational inequalities. (Optimisation convexe et inéquations variationnelles monotones.) (French) Zbl 1523.49001 Mathématiques & Applications (Berlin) 89. Cham: Springer (ISBN 978-3-031-30680-8/pbk; 978-3-031-30681-5/ebook). xiii, 194 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49-01 90-01 49J40 90C25 49J53 26B25 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Van Thanh Nguyen An existence result for optimal control of singular constraints involving 1-Laplacian operator. (English) Zbl 1512.49005 Appl. Anal. 102, No. 1, 159-167 (2023). MSC: 49J20 47H06 47H20 47J05 × Cite Format Result Cite Review PDF Full Text: DOI
Dey, Soumitra A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions. (English) Zbl 07676508 Numer. Algorithms 93, No. 1, 1-25 (2023). MSC: 65Y05 65K15 68W10 47H05 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Rockafellar, R. Tyrrell Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality. (English) Zbl 1512.90239 Math. Program. 198, No. 1 (A), 159-194 (2023). MSC: 90C46 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Sim, Chee-Khian Convergence rates for the relaxed Peaceman-Rachford splitting method on a monotone inclusion problem. (English) Zbl 1511.90326 J. Optim. Theory Appl. 196, No. 1, 298-323 (2023). MSC: 90C25 47H05 65K05 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
De Baets, B.; De Meyer, H. Maximal directions of monotonicity of an aggregation function. (English) Zbl 1522.62028 Fuzzy Sets Syst. 433, 54-78 (2022). MSC: 62H05 × Cite Format Result Cite Review PDF Full Text: DOI
Barlo, Mehmet; Dalkıran, Nuh Aygün Computational implementation. (English) Zbl 1518.91038 Rev. Econ. Des. 26, No. 4, 605-633 (2022). MSC: 91B03 × Cite Format Result Cite Review PDF Full Text: DOI Link
López-Díaz, María Concepción; López-Díaz, Miguel; Martínez-Fernández, Sergio On stochastic orders defined by other stochastic orders and transformations of probabilities. (English) Zbl 1510.60018 Math. Inequal. Appl. 25, No. 4, 925-939 (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Cholamjiak, Prasit; Hieu, Dang Van; Muu, Le Dung Inertial splitting methods without prior constants for solving variational inclusions of two operators. (English) Zbl 1504.65136 Bull. Iran. Math. Soc. 48, No. 6, 3019-3045 (2022). MSC: 65K15 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Visintin, Augusto \( \Gamma \)-compactness and \( \Gamma \)-stability of the flow of heat-conducting fluids. (English) Zbl 1504.35385 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2331-2343 (2022). MSC: 35Q35 35K60 47H05 49J40 76D03 76D05 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Takahashi, Wataru; Takeuchi, Yukio The Fenchel duality formula, the Ekeland variational principle, and Rockafellar’s theorem for maximal monotonicity of subdifferentials. (English) Zbl 1511.47062 Optimization 71, No. 10, 2769-2787 (2022). MSC: 47H14 47H07 47H11 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Amritam; Chaffey, Thomas; Sepulchre, Rodolphe Oscillations in mixed-feedback systems. (English) Zbl 1498.93254 Syst. Control Lett. 166, Article ID 105289, 8 p. (2022). MSC: 93B52 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huillet, Thierry; Martinez, Servet Revisiting John Lamperti’s maximal branching process. (English) Zbl 1492.60238 Stochastics 94, No. 2, 277-310 (2022). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Visintin, Augusto \( \Gamma \)-compactness and \(\Gamma \)-stability of maximal monotone flows. (English) Zbl 1479.49025 J. Math. Anal. Appl. 506, No. 1, Article ID 125602, 29 p. (2022). Reviewer: Aygul Manapova (Ufa) MSC: 49J45 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Visintin, Augusto \( \Gamma \)-stability of maximal monotone processes. (English) Zbl 1485.35279 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 4, 627-647 (2021). MSC: 35K90 35K59 35K20 47H05 49J40 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Rockafellar, R. Tyrrell Advances in convergence and scope of the proximal point algorithm. (English) Zbl 1481.65094 J. Nonlinear Convex Anal. 22, No. 11, 2347-2375 (2021). MSC: 65K10 47H05 × Cite Format Result Cite Review PDF Full Text: Link
Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T.; Perisetti, Lakshmi Naga Mahendranath On the stationary nonlocal Cahn-Hilliard-Navier-Stokes system: existence, uniqueness and exponential stability. (English) Zbl 1510.35231 Asymptotic Anal. 125, No. 1-2, 59-99 (2021). MSC: 35Q35 76D05 76V05 35B65 35B35 35A01 35A02 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chuasuk, Preeyanuch; Kaewcharoen, Anchalee Krasnoselski-Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems. (English) Zbl 1510.47084 J. Inequal. Appl. 2021, Paper No. 94, 25 p. (2021). MSC: 47J25 47H09 65J15 90C33 65K15 90C25 91B50 × Cite Format Result Cite Review PDF Full Text: DOI
Dadoun, Benjamin; Youssef, Pierre Maximal correlation and monotonicity of free entropy and of Stein discrepancy. (English) Zbl 1491.46062 Electron. Commun. Probab. 26, Paper No. 24, 10 p. (2021). MSC: 46L54 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxia; Peng, Shaolong A direct method of moving planes for fully nonlinear nonlocal operators and applications. (English) Zbl 1479.35919 Discrete Contin. Dyn. Syst., Ser. S 14, No. 6, 1871-1897 (2021). MSC: 35R11 35B06 35B50 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Rockafellar, R. Tyrrell Characterizing firm nonexpansiveness of prox mappings both locally and globally. (English) Zbl 1490.46072 J. Nonlinear Convex Anal. 22, No. 5, 887-899 (2021). Reviewer: Rita Pini (Milano) MSC: 46N10 49J53 × Cite Format Result Cite Review PDF Full Text: Link
Bartz, Sedi; Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu Multi-marginal maximal monotonicity and convex analysis. (English) Zbl 1521.47084 Math. Program. 185, No. 1-2 (A), 385-408 (2021). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H05 26B25 49N15 49K30 52A01 91B68 00A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Efendiev, M. A.; Murley, J.; Sivaloganathan, S. A coupled PDE model of high intensity ultrasound heating of biological tissue. I: Well-posedness. (English) Zbl 1475.35350 Adv. Math. Sci. Appl. 29, No. 1, 231-246 (2020). MSC: 35Q92 35Q79 35Q35 92C05 92C50 92C37 80A19 76G25 76Q05 35A01 35A02 35A16 35K20 35K55 35B65 35B45 × Cite Format Result Cite Review PDF
Moudafi, Abdellatif A three-operator splitting algorithm for null-point problems. (English) Zbl 1454.65042 Fixed Point Theory 21, No. 2, 685-692 (2020). MSC: 65K10 49M37 47H10 90C25 × Cite Format Result Cite Review PDF Full Text: Link
Simons, Stephen A stand-alone analysis of quasidensity. (English) Zbl 1492.47048 J. Nonlinear Var. Anal. 4, No. 2, 163-188 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sattarzadeh, A. R.; Mohebi, H. Characterizing approximate global minimizers of the difference of two abstract convex functions with applications. (English) Zbl 1513.90132 Filomat 33, No. 8, 2431-2445 (2019). MSC: 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Simons, Stephen Gossez’s skew linear map and its pathological maximally monotone multifunctions. (English) Zbl 1437.47024 Proc. Am. Math. Soc. 147, No. 10, 4355-4361 (2019). Reviewer: Sorin-Mihai Grad (Wien) MSC: 47H05 47N10 46A20 46A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhenhai; Migórski, Stanisław; Zeng, Biao Existence results and optimal control for a class of quasi mixed equilibrium problems involving the \((f,g,h)\)-quasimonotonicity. (English) Zbl 1415.74043 Appl. Math. Optim. 79, No. 2, 257-277 (2019). MSC: 74Q05 90C33 91B50 × Cite Format Result Cite Review PDF Full Text: DOI
Lussardi, Luca; Marini, Stefano; Veneroni, Marco Stochastic homogenization of maximal monotone relations and applications. (English) Zbl 1405.35006 Netw. Heterog. Media 13, No. 1, 27-45 (2018). MSC: 35B27 47H05 49J40 74B20 74Q15 78M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Deng Recent progress on stochastic nonlinear Schrödinger equations. (English) Zbl 1405.60100 Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 279-289 (2018). MSC: 60H15 60H30 35Q55 47H05 81Q93 × Cite Format Result Cite Review PDF Full Text: DOI
Boussandel, Sahbi Existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces with anti-periodic boundary conditions. (English) Zbl 1499.35370 Appl. Math., Praha 63, No. 5, 523-539 (2018). MSC: 35K90 35K10 35K55 35K57 35K59 47J35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jarušek, Jiří; Stará, Jana Solvability of a rational contact model with limited interpenetration in viscoelastodynamics. (English) Zbl 1401.74218 Math. Mech. Solids 23, No. 7, 1040-1048 (2018). MSC: 74M15 74D05 74H20 × Cite Format Result Cite Review PDF Full Text: DOI
Cotrina, John A remark on the Brézis-Browder theorem in finite dimensional spaces. (English) Zbl 06865941 Optimization 67, No. 3, 393-398 (2018). MSC: 47-XX × Cite Format Result Cite Review PDF Full Text: DOI
Simons, Stephen Quasidense monotone multifunctions. (English) Zbl 06861465 Set-Valued Var. Anal. 26, No. 1, 5-26 (2018). MSC: 47H05 47N10 52A41 46A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bianchi, Monica; Hadjisavvas, Nicolas; Pini, Rita Representative functions of maximally monotone operators and bifunctions. (English) Zbl 1436.47017 Math. Program. 168, No. 1-2 (B), 433-448 (2018). Reviewer: Sorin-Mihai Grad (Wien) MSC: 47H05 47H04 49J53 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaipunya, Parin; Kumam, Poom On the proximal point method in Hadamard spaces. (English) Zbl 1409.90224 Optimization 66, No. 10, 1647-1665 (2017). MSC: 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanov, Milen; Zlateva, Nadia Maximal monotonicity of the subdifferential of a convex function: a direct proof. (English) Zbl 1383.49022 J. Convex Anal. 24, No. 4, 1307-1311 (2017). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 49J52 47H05 49J45 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Heemels, W. P. M. H.; Sessa, V.; Vasca, F.; Camlibel, M. K. Computation of periodic solutions in maximal monotone dynamical systems with guaranteed consistency. (English) Zbl 1375.65087 Nonlinear Anal., Hybrid Syst. 24, 100-114 (2017). MSC: 65K10 93C05 93C15 93C10 93D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hiai, Fumio; Mosonyi, Milán Different quantum \(f\)-divergences and the reversibility of quantum operations. (English) Zbl 1378.81016 Rev. Math. Phys. 29, No. 7, Article ID 1750023, 80 p. (2017). Reviewer: Bassano Vacchini (Milano) MSC: 81P45 81P16 94A17 46L07 81P50 81-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbu, Viorel; Röckner, Michael; Zhang, Deng The stochastic logarithmic Schrödinger equation. (English. French summary) Zbl 1360.60119 J. Math. Pures Appl. (9) 107, No. 2, 123-149 (2017). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H15 47H05 47J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adly, Samir; Hantoute, Abderrahim; Le, Ba Khiet Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur’e dynamical systems. (English) Zbl 1358.47036 J. Math. Anal. Appl. 448, No. 1, 691-706 (2017). MSC: 47H05 47N70 × Cite Format Result Cite Review PDF Full Text: DOI
Balogh, Z. M.; Calogero, A.; Pini, R. On the local boundedness of maximal \(\mathrm{H}\)-monotone operators. (English) Zbl 1385.47019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 148, 88-105 (2017). Reviewer: Mohammad Hossein Alizadeh (Zanjan) MSC: 47H05 49J53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simons, Stephen “Densities” and maximal monotonicity. (English) Zbl 1372.47062 J. Convex Anal. 23, No. 4, 1017-1050 (2016). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H05 47N10 52A41 46A20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Boţ, Radu Ioan; Bueno, Orestes; Simons, Stephen The Rockafellar conjecture and type (FPV). (English) Zbl 1440.47040 Set-Valued Var. Anal. 24, No. 3, 381-385 (2016). MSC: 47H05 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, J.; Li, J. Weak sharpness for set-valued variational inequalities and applications to finite termination of iterative algorithms. (English) Zbl 1345.49010 Optimization 65, No. 8, 1585-1597 (2016). MSC: 49J40 49J53 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Chieu, N. H.; Lee, G. M.; Mordukhovich, B. S.; Nghia, T. T. A. Coderivative characterizations of maximal monotonicity for set-valued mappings. (English) Zbl 1347.49026 J. Convex Anal. 23, No. 2, 461-480 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J53 49J52 47H04 47H05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mordukhovich, B. S.; Nghia, T. T. A. Local monotonicity and full stability for parametric variational systems. (English) Zbl 1337.49030 SIAM J. Optim. 26, No. 2, 1032-1059 (2016). MSC: 49J53 49J52 49K40 49J40 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartz, Sedi; Reich, Simeon Some aspects of the representation of \(c\)-monotone operators by \(C\)-convex functions. (English) Zbl 1328.47053 J. Convex Anal. 22, No. 3, 687-710 (2015). MSC: 47H04 47H05 49N15 52A01 × Cite Format Result Cite Review PDF Full Text: Link
Harris, Charles M. On limitwise monotonicity and maximal block functions. (English) Zbl 1337.03064 Computability 4, No. 2, 119-139 (2015). MSC: 03D45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, Yan; Wang, Jinhua; Guu, Sy-Ming Convergence criteria of the generalized Newton method and uniqueness of solution for generalized equations. (English) Zbl 1333.49044 J. Nonlinear Convex Anal. 16, No. 7, 1485-1499 (2015). Reviewer: Costică Moroşanu (Iaşi) MSC: 49M15 49J40 49J53 47H04 47H05 47J25 47J20 47J22 65J15 65K15 × Cite Format Result Cite Review PDF Full Text: Link
Wang, J. H.; Li, Chong; Yao, J.-C. Finite termination of inexact proximal point algorithms in Hilbert spaces. (English) Zbl 1332.49017 J. Optim. Theory Appl. 166, No. 1, 188-212 (2015). MSC: 49J53 47J25 47J22 47H04 47H05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Lassonde, Marc Brøndsted-Rockafellar property of subdifferentials of prox-bounded functions. (English) Zbl 1316.47044 J. Convex Anal. 22, No. 2, 485-492 (2015). MSC: 47H05 49J52 49J53 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kolwicz, Paweł; Panfil, Agata Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\). (English) Zbl 1375.46012 J. Inequal. Appl. 2014, Paper No. 467, 23 p. (2014). MSC: 46B20 46E30 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Kolwicz, Paweł; Panfil, Agata Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\). (English) Zbl 1345.46009 J. Inequal. Appl. 2014, Paper No. 467, 23 p. (2014). MSC: 46B20 46B42 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Gaĭnanov, D. I. Combinatorial geometry and graphs in an analysis of infeasible systems and pattern recognition. (Комбинаторная геометрия и графы в анализе несовместных систем и распознавнии образов.) (Russian) Zbl 1325.05003 Moscow: Nauka (ISBN 978-5-02-039095-9/hbk). 173 p. (2014). Reviewer: Anton Shutov (Vladimir) MSC: 05-02 05C65 05C20 05C69 05E45 05C90 52-02 15A39 52A37 52A40 52A20 52B05 52B35 05B05 06E30 × Cite Format Result Cite Review PDF
Ciesielski, Maciej; Kolwicz, Paweł; Panfil, Agata Local monotonicity structure of symmetric spaces with applications. (English) Zbl 1306.46017 J. Math. Anal. Appl. 409, No. 2, 649-662 (2014). MSC: 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Lassonde, Marc Characterization of the monotone polar of subdifferentials. (English) Zbl 1306.49027 Optim. Lett. 8, No. 5, 1735-1740 (2014). MSC: 49J52 49J40 49K27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jules, Florence; Lassonde, Marc Subdifferential test for optimality. (English) Zbl 1301.49038 J. Glob. Optim. 59, No. 1, 101-106 (2014). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 49K27 49J53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Becker, Robert A.; Dubey, Ram Sewak; Mitra, Tapan On Ramsey equilibrium: capital ownership pattern and inefficiency. (English) Zbl 1291.91152 Econ. Theory 55, No. 3, 565-600 (2014). Reviewer: Alfred Göpfert (Halle) MSC: 91B52 91B54 × Cite Format Result Cite Review PDF Full Text: DOI Link
Calogero, A.; Pini, R. On Minty’s theorem in the Heisenberg group. (English) Zbl 1292.53021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 104, 12-20 (2014). MSC: 53C17 26B25 47H05 49J53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alimohammady, M.; Ramazannejad, M.; Roohi, M. Notes on the difference of two monotone operators. (English) Zbl 1401.47003 Optim. Lett. 8, No. 1, 81-84 (2014). MSC: 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Rockafellar, R. T. Applications of convex variational analysis to Nash equilibrium. (English) Zbl 1440.49022 Akashi, Shigeo (ed.) et al., Proceedings of the seventh international conference on nonlinear analysis and convex analysis (NACA 2011), Busan, South Korea, August 2–5, 2011. Vol. II. Yokohama: Yokohama Publishers. 173-183 (2013). MSC: 49J53 47J07 49J40 49K40 90C31 × Cite Format Result Cite Review PDF
Jules, Florence; Lassonde, Marc Subdifferential estimate of the directional derivative, optimality criterion and separation principles. (English) Zbl 1278.49019 Optimization 62, No. 9, 1267-1288 (2013). MSC: 49J52 49K27 26D10 26B25 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Lecai; Lan, Heng-you Convergence analysis of the over-relaxed proximal point algorithms with errors for generalized nonlinear random operator equations. (English) Zbl 1271.49005 J. Comput. Anal. Appl. 15, No. 7, 1247-1256 (2013). MSC: 49J40 47H05 47J25 × Cite Format Result Cite Review PDF
Wang, Zhong-Bao; Huang, Nan-Jing The degree theory for set-valued compact perturbation of monotone-type mappings with an application. (English) Zbl 1287.47044 Appl. Anal. 92, No. 3, 616-635 (2013). Reviewer: Martin Väth (Berlin) MSC: 47H11 47H05 47H14 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Lan, Heng-You; Cai, Lecai; Wu, Shulin General hybrid \((A,\eta ,m)\)-proximal point algorithm frameworks for finding common solutions of nonlinear operator equations and fixed point problems. (English) Zbl 1446.47071 Commun. Nonlinear Sci. Numer. Simul. 18, No. 4, 895-904 (2013). MSC: 47J25 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Ćwiszewski, Aleksander; Maciejewski, Mateusz Positive stationary solutions for \(p\)-Laplacian problems with nonpositive perturbation. (English) Zbl 1336.35172 J. Differ. Equations 254, No. 3, 1120-1136 (2013). MSC: 35J92 35A16 47H05 58C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolwicz, Paweł; Panfil, Agata Non-square Lorentz spaces \(\Gamma_{p,\omega}\). (English) Zbl 1268.46012 Indag. Math., New Ser. 24, No. 1, 254-263 (2013). Reviewer: Henryk Hudzik (Poznań) MSC: 46B20 46B42 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Li; Agarwal, Ravi P.; Wong, Patricia J. Y. Study on integro-differential equation with generalized \(p\)-Laplacian operator. (English) Zbl 1511.35221 Bound. Value Probl. 2012, Paper No. 131, 15 p. (2012). MSC: 35K59 35K61 35A01 35A02 35A16 × Cite Format Result Cite Review PDF Full Text: DOI
Visintin, Augusto On the homogenization of visco-elastic processes. (English) Zbl 1384.74042 IMA J. Appl. Math. 77, No. 6, 869-886 (2012). MSC: 74Q10 74D10 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Altangerel, L.; Battur, G. Perturbation approach to generalized Nash equilibrium problems with shared constraints. (English) Zbl 1259.91005 Optim. Lett. 6, No. 7, 1379-1391 (2012). MSC: 91A10 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Junghanns, Peter; von Wolfersdorf, Lothar On the monotonicity of some singular integral operators. (English) Zbl 1256.45004 Math. Methods Appl. Sci. 35, No. 8, 894-922 (2012). Reviewer: Dan-Mircea Borş (Iaşi) MSC: 45P05 45E05 45E10 × Cite Format Result Cite Review PDF Full Text: DOI
László, Szilárd \(\theta\)-monotone operators and \(\theta\)-convex functions. (English) Zbl 1262.47075 Taiwanese J. Math. 16, No. 2, 733-759 (2012). Reviewer: Stefan Czerwik (Gliwice) MSC: 47H05 47H04 26A51 26B25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Agarwal, Ravi P.; Verma, Ram U. Hybrid over-relaxed proximal point procedure and applications. (English) Zbl 1256.65044 Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 9, 9-31 (2011). Reviewer: Ctirad Matonoha (Prague) MSC: 65J15 47J22 65K15 49J40 49J27 49M20 × Cite Format Result Cite Review PDF
Verma, Ram U. New proximal point algorithms based on generalized Yosida approximations applied to variational inclusions. (English) Zbl 1223.49014 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 3, 297-310 (2011). MSC: 49J40 65B05 × Cite Format Result Cite Review PDF Full Text: Link
Chun, Youngsub Consistency and monotonicity in sequencing problems. (English) Zbl 1214.91031 Int. J. Game Theory 40, No. 1, 29-41 (2011). MSC: 91B14 × Cite Format Result Cite Review PDF Full Text: DOI
Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Rhandi, Abdelaziz Kolmogorov equations perturbed by an inverse-square potential. (English) Zbl 1213.35275 Discrete Contin. Dyn. Syst., Ser. S 4, No. 3, 623-630 (2011). MSC: 35K67 35K15 35R05 35B25 34G10 47D08 × Cite Format Result Cite Review PDF Full Text: DOI
Visintin, Augusto Homogenization of a parabolic model of ferromagnetism. (English) Zbl 1213.35066 J. Differ. Equations 250, No. 3, 1521-1552 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35A15 49J40 78A25 35K59 35K65 47H06 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Ravi P.; Verma, Ram U. The over-relaxed \(\eta\)-proximal point algorithm and nonlinear variational inclusion problems. (English) Zbl 1235.49014 Nonlinear Funct. Anal. Appl. 15, No. 1, 63-77 (2010). MSC: 49J40 47H10 65B05 47H05 × Cite Format Result Cite Review PDF
Zhou, Jun; Mu, Chunlai Time periodic solutions of porous medium equation. (English) Zbl 1203.35019 Math. Methods Appl. Sci. 33, No. 16, 1942-1954 (2010). MSC: 35B10 35K65 35B33 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Jonathan M. Fifty years of maximal monotonicity. (English) Zbl 1214.47043 Optim. Lett. 4, No. 4, 473-490 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47H05 47H07 47-03 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Crouzeix, Jean-Pierre; Ocaña Anaya, Eladio Maximality is nothing but continuity. (English) Zbl 1191.49012 J. Convex Anal. 17, No. 2, 521-534 (2010). MSC: 49J45 47H07 × Cite Format Result Cite Review PDF Full Text: Link
Crouzeix, Jean-Pierre; Anaya, Eladio Ocaña Monotone and maximal monotone affine subspaces. (English) Zbl 1185.90196 Oper. Res. Lett. 38, No. 2, 139-142 (2010). MSC: 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Hadjisavvas, N.; Khatibzadeh, H. Maximal monotonicity of bifunctions. (English) Zbl 1250.47050 Optimization 59, No. 1-2, 147-160 (2010). MSC: 47H05 47H04 49J40 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Jiebao; Wu, Boying; Zhang, Dazhi Asymptotic behavior of solutions of a periodic diffusion equation. (English) Zbl 1190.35021 J. Inequal. Appl. 2010, Article ID 597569, 12 p. (2010). MSC: 35B10 35K20 35K65 35K59 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Eberhard, A. C.; Mohebi, Hossein Maximal abstract monotonicity and generalized Fenchel’s conjugation formulas. (English) Zbl 1218.47072 Set-Valued Var. Anal. 18, No. 1, 79-108 (2010). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 47H05 52A01 26A51 × Cite Format Result Cite Review PDF Full Text: DOI
Crouzeix, Jean-Pierre; Eberhard, Andrew; Ralph, Daniel A geometrical insight on pseudoconvexity and pseudomonotonicity. (English) Zbl 1189.26019 Math. Program. 123, No. 1 (B), 61-83 (2010). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 26B25 47H05 90C26 91B16 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Zhai, Guangfu; Fan, Liya A modified three-step iterative method for solving variational inequalities. (English) Zbl 1212.49017 J. Shandong Univ., Nat. Sci. 44, No. 6, 69-74 (2009). MSC: 49J40 47J20 47H09 47H10 × Cite Format Result Cite Review PDF
Verma, Ram U. Relatively inexact proximal point algorithm and linear convergence analysis. (English) Zbl 1185.49034 Int. J. Math. Math. Sci. 2009, Article ID 691952, 11 p. (2009). MSC: 49M30 90C25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Agarwal, Ravi P.; Verma, Ram U. Super-relaxed \((\eta)\)-proximal point algorithms, relaxed \((\eta)\)-proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions. (English) Zbl 1186.47054 Fixed Point Theory Appl. 2009, Article ID 957407, 47 p. (2009). MSC: 47J25 47J22 47H04 47H05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Simons, S. A new proof of the maximal monotonicity of subdifferentials. (English) Zbl 1168.49019 J. Convex Anal. 16, No. 1, 165-168 (2009). MSC: 49J52 49J45 47H05 47N10 × Cite Format Result Cite Review PDF Full Text: Link
Verma, Ram U. A generalization to variational convergence for operators. (English) Zbl 1176.49016 Adv. Nonlinear Var. Inequal. 11, No. 2, 97-101 (2008). MSC: 49J40 49J45 × Cite Format Result Cite Review PDF
Zhao, Jinling; Yang, Qingzhi Weak co-coercivity and its applications in several algorithms for solving variational inequalities. (English) Zbl 1158.65048 Appl. Math. Comput. 201, No. 1-2, 200-209 (2008). Reviewer: Elena Resmerita (Linz) MSC: 65K10 49J40 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Shi-sen; Lee, H. W. Joseph; Chan, Chi Kin Approximation solvability for a class of nonlinear set-valued variational inclusions involving \((A,\eta)\)-monotone mappings. (English) Zbl 1160.47040 Panam. Math. J. 18, No. 2, 19-31 (2008). Reviewer: Ioan I. Vrabie (Iaşi) MSC: 47H05 47J30 49J40 × Cite Format Result Cite Review PDF
Simons, Stephen From Hahn–Banach to monotonicity. 2nd expanded ed. (English) Zbl 1131.47050 Lecture Notes in Mathematics 1693. Berlin: Springer (ISBN 978-1-4020-6918-5/pbk). xiv, 244 p. (2008). MSC: 47H05 47H04 49-02 47-02 46B10 49J35 47N10 46A20 × Cite Format Result Cite Review PDF