Ferreira, O. P.; Gao, Y.; Németh, S. Z. Reducing the projection onto the monotone extended second-order cone to the pool-adjacent-violators algorithm of isotonic regression. (English) Zbl 07808320 Optimization 73, No. 2, 251-265 (2024). MSC: 90C33 26B35 49K45 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., Optimization 73, No. 2, 251--265 (2024; Zbl 07808320) Full Text: DOI arXiv
Zhang, Qiulin; Lin, Huiling Mangasarian-type second- and higher-order duality for mathematical programs with complementarity constraints. (English) Zbl 07788051 Optimization 73, No. 1, 135-157 (2024). MSC: 26B25 90C33 90C46 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{H. Lin}, Optimization 73, No. 1, 135--157 (2024; Zbl 07788051) Full Text: DOI
Shapiro, Alexander On the differentiability of symmetric matrix valued functions. (English) Zbl 1521.26007 J. Convex Anal. 30, No. 4, 1307-1317 (2023). MSC: 26B05 15A16 PDFBibTeX XMLCite \textit{A. Shapiro}, J. Convex Anal. 30, No. 4, 1307--1317 (2023; Zbl 1521.26007) Full Text: Link
Amhraoui, Elmehdi; Masrour, Tawfik Smoothing approximations for piecewise smooth functions: a probabilistic approach. (English) Zbl 1497.65032 Numer. Algebra Control Optim. 12, No. 4, 745-762 (2022). MSC: 65D10 26A27 49J52 65K05 90C30 PDFBibTeX XMLCite \textit{E. Amhraoui} and \textit{T. Masrour}, Numer. Algebra Control Optim. 12, No. 4, 745--762 (2022; Zbl 1497.65032) Full Text: DOI
Chen, Liang; Zhu, Junyuan; Zhao, Xinyuan Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming. (English) Zbl 1518.65064 Sci. China, Math. 65, No. 11, 2397-2422 (2022). MSC: 65K05 49J52 90C22 26E25 PDFBibTeX XMLCite \textit{L. Chen} et al., Sci. China, Math. 65, No. 11, 2397--2422 (2022; Zbl 1518.65064) Full Text: DOI arXiv
Wang, Xianfu; Wang, Ziyuan Malitsky-Tam forward-reflected-backward splitting method for nonconvex minimization problems. (English) Zbl 1489.90144 Comput. Optim. Appl. 82, No. 2, 441-463 (2022). MSC: 90C26 49J52 26D10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Z. Wang}, Comput. Optim. Appl. 82, No. 2, 441--463 (2022; Zbl 1489.90144) Full Text: DOI arXiv
Lin, Youyicun; Hu, Shenglong B-subdifferential of the projection onto the generalized spectraplex. (English) Zbl 1500.90071 J. Optim. Theory Appl. 192, No. 2, 702-724 (2022). MSC: 90C30 26E25 58C20 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{S. Hu}, J. Optim. Theory Appl. 192, No. 2, 702--724 (2022; Zbl 1500.90071) Full Text: DOI
Chang, Shih-sen; Yao, J. C.; Liu, M.; Zhao, L. C.; Zhu, J. H. Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold. (English) Zbl 1476.49013 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 166, 11 p. (2021). MSC: 49J40 26B25 47H05 47J25 58A05 58C30 90C33 PDFBibTeX XMLCite \textit{S.-s. Chang} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 166, 11 p. (2021; Zbl 1476.49013) Full Text: DOI
Colajanni, Gabriella; Daniele, Patrizia An optimization model for a network of organ transplants with uncertain availability. (English) Zbl 1476.90338 Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 163-182 (2021). MSC: 90C35 90C26 26E25 90C90 PDFBibTeX XMLCite \textit{G. Colajanni} and \textit{P. Daniele}, Springer Optim. Appl. 167, 163--182 (2021; Zbl 1476.90338) Full Text: DOI
Miao, Xin-He; Chen, Jein-Shan On matrix characterizations for \(P\)-property of the linear transformation in second-order cone linear complementarity problems. (English) Zbl 1516.90107 Linear Algebra Appl. 613, 271-294 (2021). Reviewer: Yisheng Song (Chongqing) MSC: 90C33 26B05 26B35 PDFBibTeX XMLCite \textit{X.-H. Miao} and \textit{J.-S. Chen}, Linear Algebra Appl. 613, 271--294 (2021; Zbl 1516.90107) Full Text: DOI
Ferreira, Orizon Pereira; Németh, Sándor Zoltán; Xiao, Lianghai On the spherical quasi-convexity of quadratic functions on spherically subdual convex sets. (English) Zbl 1465.26014 J. Optim. Theory Appl. 187, No. 1, 1-21 (2020). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 26B25 90C25 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., J. Optim. Theory Appl. 187, No. 1, 1--21 (2020; Zbl 1465.26014) Full Text: DOI arXiv
Huang, Chien-Hao; Chang, Yu-Lin; Chen, Jein-Shan The \(P\)-class and \(Q\)-class functions on symmetric cones. (English) Zbl 1486.26017 J. Nonlinear Var. Anal. 4, No. 2, 273-284 (2020). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 26A51 PDFBibTeX XMLCite \textit{C.-H. Huang} et al., J. Nonlinear Var. Anal. 4, No. 2, 273--284 (2020; Zbl 1486.26017) Full Text: DOI
Phạm, Tiến-Sơn Optimality conditions for minimizers at infinity in polynomial programming. (English) Zbl 1437.90160 Math. Oper. Res. 44, No. 4, 1381-1395 (2019). MSC: 90C46 90C26 90C30 14P10 26C05 11C08 12E10 PDFBibTeX XMLCite \textit{T.-S. Phạm}, Math. Oper. Res. 44, No. 4, 1381--1395 (2019; Zbl 1437.90160) Full Text: DOI arXiv
Reem, Daniel; Reich, Simeon; De Pierro, Alvaro A telescopic Bregmanian proximal gradient method without the global Lipschitz continuity assumption. (English) Zbl 1427.90222 J. Optim. Theory Appl. 182, No. 3, 851-884 (2019). MSC: 90C25 49M27 47J25 90C30 54C30 26B25 PDFBibTeX XMLCite \textit{D. Reem} et al., J. Optim. Theory Appl. 182, No. 3, 851--884 (2019; Zbl 1427.90222) Full Text: DOI arXiv
Suwannaprapa, Montira; Petrot, Narin Finding a solution of split null point of the sum of monotone operators without prior knowledge of operator norms in Hilbert spaces. (English) Zbl 1438.49027 J. Nonlinear Sci. Appl. 11, No. 5, 683-700 (2018). MSC: 49J53 26A18 PDFBibTeX XMLCite \textit{M. Suwannaprapa} and \textit{N. Petrot}, J. Nonlinear Sci. Appl. 11, No. 5, 683--700 (2018; Zbl 1438.49027) Full Text: DOI
Chang, Yu-Lin; Huang, Chien-Hao; Chen, Jein-Shan; Hu, Chu-Chin Some inequalities for means defined on the Lorentz cone. (English) Zbl 1403.26013 Math. Inequal. Appl. 21, No. 4, 1015-1028 (2018). MSC: 26D07 26B35 PDFBibTeX XMLCite \textit{Y.-L. Chang} et al., Math. Inequal. Appl. 21, No. 4, 1015--1028 (2018; Zbl 1403.26013) Full Text: DOI
Penot, Jean-Paul Revisiting some rules of convex analysis. (English) Zbl 1398.90122 Set-Valued Var. Anal. 25, No. 4, 773-788 (2017). Reviewer: Gabriela Cristescu (Arad) MSC: 90C25 26B25 52A05 26B40 49K99 PDFBibTeX XMLCite \textit{J.-P. Penot}, Set-Valued Var. Anal. 25, No. 4, 773--788 (2017; Zbl 1398.90122) Full Text: DOI
Zhou, Jinchuan; Chen, Jein-Shan Monotonicity and circular cone monotonicity associated with circular cones. (English) Zbl 1366.26021 Set-Valued Var. Anal. 25, No. 2, 211-232 (2017). MSC: 26B35 26A48 26A27 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{J.-S. Chen}, Set-Valued Var. Anal. 25, No. 2, 211--232 (2017; Zbl 1366.26021) Full Text: DOI
Suzuki, Satoshi; Kuroiwa, Daishi Duality theorems for separable convex programming without qualifications. (English) Zbl 1380.90222 J. Optim. Theory Appl. 172, No. 2, 669-683 (2017). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C25 26B25 90C46 PDFBibTeX XMLCite \textit{S. Suzuki} and \textit{D. Kuroiwa}, J. Optim. Theory Appl. 172, No. 2, 669--683 (2017; Zbl 1380.90222) Full Text: DOI
Zhou, Jinchuan; Chang, Yu-Lin; Chen, Jein-Shan The \(H\)-differentiability and calmness of circular cone functions. (English) Zbl 1338.49030 J. Glob. Optim. 63, No. 4, 811-833 (2015). MSC: 49J52 26A27 26B05 26B35 65K05 90C33 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Glob. Optim. 63, No. 4, 811--833 (2015; Zbl 1338.49030) Full Text: DOI
Wu, Hao; Zhang, Peng; Lin, Gui-Hua Smoothing approximations for some piecewise smooth functions. (English) Zbl 1326.26010 J. Oper. Res. Soc. China 3, No. 3, 317-329 (2015). MSC: 26A06 26A51 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Oper. Res. Soc. China 3, No. 3, 317--329 (2015; Zbl 1326.26010) Full Text: DOI
Kruger, Alexander Y.; Thao, Nguyen H. About \([q]\)-regularity properties of collections of sets. (English) Zbl 1315.49006 J. Math. Anal. Appl. 416, No. 2, 471-496 (2014). MSC: 49J53 49J52 26E25 49N60 PDFBibTeX XMLCite \textit{A. Y. Kruger} and \textit{N. H. Thao}, J. Math. Anal. Appl. 416, No. 2, 471--496 (2014; Zbl 1315.49006) Full Text: DOI arXiv
Chang, Yu-Lin; Yang, Chin-Yu Some useful inequalities via trace function method in Euclidean Jordan algebras. (English) Zbl 1290.90078 Numer. Algebra Control Optim. 4, No. 1, 39-48 (2014). MSC: 90C33 26B25 PDFBibTeX XMLCite \textit{Y.-L. Chang} and \textit{C.-Y. Yang}, Numer. Algebra Control Optim. 4, No. 1, 39--48 (2014; Zbl 1290.90078) Full Text: DOI
Pan, Shaohua; Chiang, Yungyen; Chen, Jein-Shan SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions. (English) Zbl 1247.26019 Linear Algebra Appl. 437, No. 5, 1264-1284 (2012). MSC: 26B05 26B35 90C33 65K05 PDFBibTeX XMLCite \textit{S. Pan} et al., Linear Algebra Appl. 437, No. 5, 1264--1284 (2012; Zbl 1247.26019) Full Text: DOI
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems. (English) Zbl 1245.90130 Math. Program. 133, No. 1-2 (A), 327-336 (2012). MSC: 90C33 65K05 26B05 PDFBibTeX XMLCite \textit{L. Kong} et al., Math. Program. 133, No. 1--2 (A), 327--336 (2012; Zbl 1245.90130) Full Text: DOI
Chen, Jein-Shan; Pan, Shaohua Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions. (English) Zbl 1196.26018 Optimization 59, No. 5-6, 661-676 (2010). MSC: 26B05 26B35 90C33 65K05 PDFBibTeX XMLCite \textit{J.-S. Chen} and \textit{S. Pan}, Optimization 59, No. 5--6, 661--676 (2010; Zbl 1196.26018) Full Text: DOI
Sun, Juhe; Chen, Jein-Shan Two classes of merit functions for infinite-dimensional second order complementarity problems. (Two classes of merit functions for infinite-dimensional second order complimentary problems.) (English) Zbl 1202.26020 Numer. Funct. Anal. Optim. 31, No. 4, 387-413 (2010). Reviewer: George Stoica (Saint John) MSC: 26B05 90C33 PDFBibTeX XMLCite \textit{J. Sun} and \textit{J.-S. Chen}, Numer. Funct. Anal. Optim. 31, No. 4, 387--413 (2010; Zbl 1202.26020) Full Text: DOI
Chen, Jein-Shan; Chen, Xin; Pan, Shaohua; Zhang, Jiawei Some characterizations for SOC-monotone and SOC-convex functions. (English) Zbl 1189.26011 J. Glob. Optim. 45, No. 2, 259-279 (2009). MSC: 26A48 26A51 26B05 90C25 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., J. Glob. Optim. 45, No. 2, 259--279 (2009; Zbl 1189.26011) Full Text: DOI
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua Clarke generalized Jacobian of the projection onto symmetric cones. (English) Zbl 1168.49043 Set-Valued Var. Anal. 17, No. 2, 135-151 (2009). MSC: 49R50 49J52 26E25 47A75 PDFBibTeX XMLCite \textit{L. Kong} et al., Set-Valued Var. Anal. 17, No. 2, 135--151 (2009; Zbl 1168.49043) Full Text: DOI
Qi, Liqun; Tseng, Paul On almost smooth functions and piecewise smooth functions. (English) Zbl 1125.26019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 773-794 (2007). Reviewer: Radu Păltănea (Braşov) MSC: 26B05 26A27 26B25 26B35 49J52 52A41 65D15 90C25 PDFBibTeX XMLCite \textit{L. Qi} and \textit{P. Tseng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 773--794 (2007; Zbl 1125.26019) Full Text: DOI
Chen, Jein-Shan The convex and monotone functions associated with second-order cone. (English) Zbl 1147.49014 Optimization 55, No. 4, 363-385 (2006). Reviewer: Dmitry Silin (Berkeley) MSC: 49J53 26B25 90C33 PDFBibTeX XMLCite \textit{J.-S. Chen}, Optimization 55, No. 4, 363--385 (2006; Zbl 1147.49014) Full Text: DOI
Chen, Jein-Shan Two classes of merit functions for the second-order cone complementarity problem. (English) Zbl 1162.90572 Math. Methods Oper. Res. 64, No. 3, 495-519 (2006). MSC: 90C33 26B05 PDFBibTeX XMLCite \textit{J.-S. Chen}, Math. Methods Oper. Res. 64, No. 3, 495--519 (2006; Zbl 1162.90572) Full Text: DOI
Dong, Yunda A new relative error criterion for the proximal point algorithm. (English) Zbl 1105.49022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2143-2148 (2006). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J53 26E25 47H05 65K10 65K05 49M37 PDFBibTeX XMLCite \textit{Y. Dong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2143--2148 (2006; Zbl 1105.49022) Full Text: DOI
Moudafi, A. About saddle values of a class of convex-concave functions. (English) Zbl 0823.26010 Optimization 30, No. 1, 1-14 (1994). MSC: 26B25 49M99 PDFBibTeX XMLCite \textit{A. Moudafi}, Optimization 30, No. 1, 1--14 (1994; Zbl 0823.26010) Full Text: DOI