Li, Shengji; Guo, Xiaole Calculus rules of generalized \(\epsilon\)-subdifferential for vector valued mappings and applications. (English) Zbl 1364.49017 J. Ind. Manag. Optim. 8, No. 2, 411-427 (2012). MSC: 49J52 90C29 58C20 PDFBibTeX XMLCite \textit{S. Li} and \textit{X. Guo}, J. Ind. Manag. Optim. 8, No. 2, 411--427 (2012; Zbl 1364.49017) Full Text: DOI
Rezaei, Mahboubeh; Gazor, Hamid Nonsmooth pseudolinearity. (English) Zbl 1319.49023 J. Math. Ext. 6, No. 4, 63-77 (2012). MSC: 49J52 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{M. Rezaei} and \textit{H. Gazor}, J. Math. Ext. 6, No. 4, 63--77 (2012; Zbl 1319.49023)
Goncharov, V. V.; Santos, T. J. An extremal property of the INF-and SUP-convolutions regarding the strong maximum principle. (English) Zbl 1298.49026 Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 2. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04590-8/hbk). 185-195 (2012). MSC: 49K10 49J10 49J52 49N15 PDFBibTeX XMLCite \textit{V. V. Goncharov} and \textit{T. J. Santos}, in: Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22--27, 2011. Volume 2. Moscow: Peoples' Friendship University of Russia. 185--195 (2012; Zbl 1298.49026)
Liu, Caiping; Lee, Heungwing Lagrange multiplier rules for approximate solutions in vector optimization. (English) Zbl 1292.90270 J. Ind. Manag. Optim. 8, No. 3, 749-764 (2012). MSC: 90C29 49J52 90C46 PDFBibTeX XMLCite \textit{C. Liu} and \textit{H. Lee}, J. Ind. Manag. Optim. 8, No. 3, 749--764 (2012; Zbl 1292.90270) Full Text: DOI
Ma, Cheng; Li, Xun; Yiu, Ka-Fai Cedric; Yang, Yongjian; Zhang, Liansheng On an exact penalty function method for semi-infinite programming problems. (English) Zbl 1292.90299 J. Ind. Manag. Optim. 8, No. 3, 705-726 (2012). MSC: 90C34 90-08 49M37 PDFBibTeX XMLCite \textit{C. Ma} et al., J. Ind. Manag. Optim. 8, No. 3, 705--726 (2012; Zbl 1292.90299) Full Text: DOI
Wan, Xuan; Zhao, Kequan On characterizing solution sets of nonsmooth \(B\)-preinvex optimization problems. (English) Zbl 1289.90152 J. Chongqing Norm. Univ., Nat. Sci. 29, No. 6, 1-5 (2012). MSC: 90C25 90C46 PDFBibTeX XMLCite \textit{X. Wan} and \textit{K. Zhao}, J. Chongqing Norm. Univ., Nat. Sci. 29, No. 6, 1--5 (2012; Zbl 1289.90152)
Sagastizábal, Claudia; Solodov, Mikhail Solving generation expansion planning problems with environmental constraints by a bundle method. (English) Zbl 1273.90258 Comput. Manag. Sci. 9, No. 2, 163-182 (2012). MSC: 90C90 90C25 PDFBibTeX XMLCite \textit{C. Sagastizábal} and \textit{M. Solodov}, Comput. Manag. Sci. 9, No. 2, 163--182 (2012; Zbl 1273.90258) Full Text: DOI
Zhang, Binbin; Wang, Chuanjian; Jin, Qiaohua Uniform linear subregularity of a constraint multifunction. (Chinese. English summary) Zbl 1274.49027 J. Yunnan Univ. Natly., Nat. Sci. 21, No. 6, 415-418 (2012). MSC: 49J52 90C26 46B20 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Yunnan Univ. Natly., Nat. Sci. 21, No. 6, 415--418 (2012; Zbl 1274.49027) Full Text: DOI
Ma, Guochun A nonsmooth iterative algorithm for solving obstacle problems. (English) Zbl 1274.65183 J. Hangzhou Norm. Univ., Nat. Sci. 11, No. 4, 295-301 (2012). MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{G. Ma}, J. Hangzhou Norm. Univ., Nat. Sci. 11, No. 4, 295--301 (2012; Zbl 1274.65183) Full Text: DOI
Cao, Yuru; Zheng, Jiming Study of equilibrium problems in topological spaces. (Chinese. English summary) Zbl 1274.49026 Pure Appl. Math. 28, No. 4, 440-445 (2012). MSC: 49J52 49J53 49N15 90C46 90C33 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{J. Zheng}, Pure Appl. Math. 28, No. 4, 440--445 (2012; Zbl 1274.49026)
Zhao, Kequan; Yang, Xinmin Characterizations of the solution set for a class of nonsmooth optimization problems. (English) Zbl 1274.90403 Oper. Res. Trans. 16, No. 3, 109-118 (2012). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{K. Zhao} and \textit{X. Yang}, Oper. Res. Trans. 16, No. 3, 109--118 (2012; Zbl 1274.90403)
Gruzdeva, Tat’yana Vladimirovna The problem of spherical binary separability. (Russian. English summary) Zbl 1276.90053 Izv. Irkutsk. Gos. Univ., Ser. Mat. 5, No. 3, 18-31 (2012). MSC: 90C26 PDFBibTeX XMLCite \textit{T. V. Gruzdeva}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 5, No. 3, 18--31 (2012; Zbl 1276.90053)
Wu, Lei; Sun, Zhe New nonsmooth equations-based algorithms for \(\ell_1\)-norm minimization and applications. (English) Zbl 1268.65084 J. Appl. Math. 2012, Article ID 139609, 14 p. (2012). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{L. Wu} and \textit{Z. Sun}, J. Appl. Math. 2012, Article ID 139609, 14 p. (2012; Zbl 1268.65084) Full Text: DOI
Mifflin, Robert; Sagastizábal, Claudia A science fiction story in nonsmooth optimization originating at IIASA. (English) Zbl 1264.01016 Doc. Math. Extra Vol., Optimization Stories, 291-300 (2012). MSC: 01A60 65-03 65K05 90-03 90C30 PDFBibTeX XMLCite \textit{R. Mifflin} and \textit{C. Sagastizábal}, Doc. Math. Extra Vol., 291--300 (2012; Zbl 1264.01016) Full Text: EMIS
Goffin, Jean-Louis Subgradient optimization in nonsmooth optimization (including the soviet revolution). (English) Zbl 1282.90135 Doc. Math. Extra Vol., Optimization Stories, 277-290 (2012). Reviewer: Paulo Mbunga (Kiel) MSC: 90C26 26A27 46N10 90C30 PDFBibTeX XMLCite \textit{J.-L. Goffin}, Doc. Math. Extra Vol., 277--290 (2012; Zbl 1282.90135) Full Text: EMIS
Li, Guoyin; Mordukhovich, Boris S. Hölder metric subregularity with applications to proximal point method. (English) Zbl 1260.49069 SIAM J. Optim. 22, No. 4, 1655-1684 (2012). MSC: 49N60 49J52 49J53 90C26 90C31 PDFBibTeX XMLCite \textit{G. Li} and \textit{B. S. Mordukhovich}, SIAM J. Optim. 22, No. 4, 1655--1684 (2012; Zbl 1260.49069) Full Text: DOI
Cánovas, María Josefa; López Cerda, Marco Antonio; Mordukhovich, Boris S.; Parra, Juan Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems. (English) Zbl 1257.90105 Top 20, No. 2, 310-327 (2012). MSC: 90C34 90C25 49J52 49J53 65F22 PDFBibTeX XMLCite \textit{M. J. Cánovas} et al., Top 20, No. 2, 310--327 (2012; Zbl 1257.90105) Full Text: DOI arXiv Link
Gong, Xun-Hua Optimality conditions for efficient solution to the vector equilibrium problems with constraints. (English) Zbl 1258.49023 Taiwanese J. Math. 16, No. 4, 1453-1473 (2012). MSC: 49K10 49J52 49J50 90C29 90C46 PDFBibTeX XMLCite \textit{X.-H. Gong}, Taiwanese J. Math. 16, No. 4, 1453--1473 (2012; Zbl 1258.49023) Full Text: DOI Link
Prechtel, Marina; Leugering, Günter; Steinmann, Paul; Stingl, Michael Optimal design of brittle composite materials: a nonsmooth approach. (English) Zbl 1257.90091 J. Optim. Theory Appl. 155, No. 3, 962-985 (2012). MSC: 74P10 90C30 90C90 PDFBibTeX XMLCite \textit{M. Prechtel} et al., J. Optim. Theory Appl. 155, No. 3, 962--985 (2012; Zbl 1257.90091) Full Text: DOI
Audet, Charles; Le Digabel, Sébastien The mesh adaptive direct search algorithm for periodic variables. (English) Zbl 1264.90157 Pac. J. Optim. 8, No. 1, 103-119 (2012). MSC: 90C30 90C56 49J52 49N20 PDFBibTeX XMLCite \textit{C. Audet} and \textit{S. Le Digabel}, Pac. J. Optim. 8, No. 1, 103--119 (2012; Zbl 1264.90157) Full Text: Link
Wang, Tianjing; Yang, Zhen; Zheng, Baoyu A maximum entropy function method for nonconvex optimization in compressed sensing. (English) Zbl 1265.94023 Chin. J. Eng. Math. 29, No. 3, 451-461 (2012). MSC: 94A12 90C26 94A17 PDFBibTeX XMLCite \textit{T. Wang} et al., Chin. J. Eng. Math. 29, No. 3, 451--461 (2012; Zbl 1265.94023)
Chen, Jiawei; Li, Jun; Wang, Jingnan Optimality conditions and duality for a nonsmooth multiobjective optimization problem with cone constraints. (Chinese. English summary) Zbl 1265.90250 Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 1, 1-12 (2012). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{J. Chen} et al., Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 1, 1--12 (2012; Zbl 1265.90250)
Gräf, Manuel; Potts, Daniel; Steidl, Gabriele Quadrature errors, discrepancies, and their relations to halftoning on the torus and the sphere. (English) Zbl 1261.65066 SIAM J. Sci. Comput. 34, No. 5, A2760-A2791 (2012). Reviewer: Hans Benker (Merseburg) MSC: 65K10 53B21 49M15 33C55 46E22 49J52 65T50 PDFBibTeX XMLCite \textit{M. Gräf} et al., SIAM J. Sci. Comput. 34, No. 5, A2760--A2791 (2012; Zbl 1261.65066) Full Text: DOI
Mordukhovich, B. S.; Rockafellar, R. T. Second-order subdifferential calculus with applications to tilt stability in optimization. (English) Zbl 1260.49022 SIAM J. Optim. 22, No. 3, 953-986 (2012). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 49J52 90C30 90C31 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{R. T. Rockafellar}, SIAM J. Optim. 22, No. 3, 953--986 (2012; Zbl 1260.49022) Full Text: DOI arXiv
Asadi, Mohammad B.; Soleimani-damaneh, Majid Infinite alternative theorems and nonsmooth constraint qualification conditions. (English) Zbl 1266.65098 Set-Valued Var. Anal. 20, No. 4, 551-566 (2012). Reviewer: Jafar Zafarani (Isfahan) MSC: 65K10 46A03 46A22 PDFBibTeX XMLCite \textit{M. B. Asadi} and \textit{M. Soleimani-damaneh}, Set-Valued Var. Anal. 20, No. 4, 551--566 (2012; Zbl 1266.65098) Full Text: DOI
Zhu, S. K.; Li, S. J.; Xue, X. W. Strong Fermat rules for constrained set-valued optimization problems on Banach spaces. (English) Zbl 1263.49016 Set-Valued Var. Anal. 20, No. 4, 637-666 (2012). MSC: 49J53 49J52 90C29 90C46 PDFBibTeX XMLCite \textit{S. K. Zhu} et al., Set-Valued Var. Anal. 20, No. 4, 637--666 (2012; Zbl 1263.49016) Full Text: DOI
Huang, Hui Coderivative conditions for error bounds of \(\gamma\)-paraconvex multifunctions. (English) Zbl 1254.49009 Set-Valued Var. Anal. 20, No. 4, 567-579 (2012). MSC: 49J52 49J53 90C29 90C31 PDFBibTeX XMLCite \textit{H. Huang}, Set-Valued Var. Anal. 20, No. 4, 567--579 (2012; Zbl 1254.49009) Full Text: DOI
Küçük, Yalçın; Atasever, İlknur; Küçük, Mahide Weak Fenchel and weak Fenchel-Lagrange conjugate duality for nonconvex scalar optimization problems. (English) Zbl 1269.90084 J. Glob. Optim. 54, No. 4, 813-830 (2012). MSC: 90C26 90C46 49J52 PDFBibTeX XMLCite \textit{Y. Küçük} et al., J. Glob. Optim. 54, No. 4, 813--830 (2012; Zbl 1269.90084) Full Text: DOI
Ginchev, Ivan; Mordukhovich, Boris S. Directional subdifferentials and optimality conditions. (English) Zbl 1254.49007 Positivity 16, No. 4, 707-737 (2012). MSC: 49J52 49J53 90C29 49K27 PDFBibTeX XMLCite \textit{I. Ginchev} and \textit{B. S. Mordukhovich}, Positivity 16, No. 4, 707--737 (2012; Zbl 1254.49007) Full Text: DOI Link
Boulerhcha, M.; Abdelhaq, Benbrik; Samir, Lahrech Optimal bilinear control problems governed by evolution partial differential equation. (English) Zbl 1264.49021 Int. J. Math. Anal., Ruse 6, No. 45-48, 2385-2395 (2012). Reviewer: Aris Daniilidis (Santiago) MSC: 49K15 49J52 49J50 PDFBibTeX XMLCite \textit{M. Boulerhcha} et al., Int. J. Math. Anal., Ruse 6, No. 45--48, 2385--2395 (2012; Zbl 1264.49021) Full Text: Link
Huang, Hui; Haber, Eldad; Horesh, Lior Optimal estimation of \(\ell_1\)-regularization prior from a regularized empirical Bayesian risk standpoint. (English) Zbl 1255.49060 Inverse Probl. Imaging 6, No. 3, 447-464 (2012). MSC: 49N45 62F15 PDFBibTeX XMLCite \textit{H. Huang} et al., Inverse Probl. Imaging 6, No. 3, 447--464 (2012; Zbl 1255.49060) Full Text: DOI
Mordukhovich, Boris S.; Phan, Hung M. Tangential extremal principles for finite and infinite systems of sets. I: Basic theory. (English) Zbl 1273.49021 Math. Program. 136, No. 1 (B), 3-30 (2012). Reviewer: Bao Truong (Marquette) MSC: 49J52 49J53 90C29 90C30 90C34 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{H. M. Phan}, Math. Program. 136, No. 1 (B), 3--30 (2012; Zbl 1273.49021) Full Text: DOI arXiv
Mordukhovich, Boris S.; Phan, Hung M. Tangential extremal principles for finite and infinite systems of sets. II: Applications to semi-infinite and multiobjective optimization. (English) Zbl 1273.49020 Math. Program. 136, No. 1 (B), 31-63 (2012). Reviewer: Bao Truong (Marquette) MSC: 49J52 49J53 90C29 90C30 90C34 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{H. M. Phan}, Math. Program. 136, No. 1 (B), 31--63 (2012; Zbl 1273.49020) Full Text: DOI arXiv
Karmitsa, N.; Bagirov, A. M. Limited memory discrete gradient bundle method for nonsmooth derivative-free optimization. (English) Zbl 1259.90164 Optimization 61, No. 12, 1491-1509 (2012). MSC: 90C56 90C30 49J52 65K05 PDFBibTeX XMLCite \textit{N. Karmitsa} and \textit{A. M. Bagirov}, Optimization 61, No. 12, 1491--1509 (2012; Zbl 1259.90164) Full Text: DOI
Küçük, Yalçın; Atasever, Ịlknur; Küçük, Mahide On generalized weak subdifferentials and some properties. (English) Zbl 1254.26007 Optimization 61, No. 12, 1369-1381 (2012). MSC: 26A24 26B25 28B99 49J52 65K10 PDFBibTeX XMLCite \textit{Y. Küçük} et al., Optimization 61, No. 12, 1369--1381 (2012; Zbl 1254.26007) Full Text: DOI
Demyanov, V. F. Proper exhausters and coexhausters in nonsmooth analysis. (English) Zbl 1292.90278 Optimization 61, No. 11, 1347-1368 (2012). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{V. F. Demyanov}, Optimization 61, No. 11, 1347--1368 (2012; Zbl 1292.90278) Full Text: DOI
Lin, Huiling An inexact spectral bundle method for convex quadratic semidefinite programming. (English) Zbl 1282.90120 Comput. Optim. Appl. 53, No. 1, 45-89 (2012). MSC: 90C22 PDFBibTeX XMLCite \textit{H. Lin}, Comput. Optim. Appl. 53, No. 1, 45--89 (2012; Zbl 1282.90120) Full Text: DOI
Soleimani-damaneh Duality for optimization problems in Banach algebras. (English) Zbl 1281.90086 J. Glob. Optim. 54, No. 2, 375-388 (2012). MSC: 90C48 90C46 PDFBibTeX XMLCite \textit{Soleimani-damaneh}, J. Glob. Optim. 54, No. 2, 375--388 (2012; Zbl 1281.90086) Full Text: DOI
Movahedian, Nooshin Calmness of set-valued mappings between Asplund spaces and application to equilibrium problems. (English) Zbl 1281.90065 Set-Valued Var. Anal. 20, No. 3, 499-518 (2012). MSC: 90C31 26E25 49J52 PDFBibTeX XMLCite \textit{N. Movahedian}, Set-Valued Var. Anal. 20, No. 3, 499--518 (2012; Zbl 1281.90065) Full Text: DOI
Golestani, M.; Nobakhtian, Soghra Convexificators and strong Kuhn-Tucker conditions. (English) Zbl 1252.90073 Comput. Math. Appl. 64, No. 4, 550-557 (2012). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{M. Golestani} and \textit{S. Nobakhtian}, Comput. Math. Appl. 64, No. 4, 550--557 (2012; Zbl 1252.90073) Full Text: DOI
Long, Xian-Jun; Peng, Jian-Wen; Wong, Mu-Ming Corrigendum to: “Generalized radial epiderivatives and nonconvex set-valued optimization problems”. (English) Zbl 1252.90068 Appl. Anal. 91, No. 10, 1957 (2012). MSC: 90C26 90C46 49J52 PDFBibTeX XMLCite \textit{X.-J. Long} et al., Appl. Anal. 91, No. 10, 1957 (2012; Zbl 1252.90068) Full Text: DOI
Mordukhovich, Boris S.; Nam, Nguyen Mau; Salinas, Juan Applications of variational analysis to a generalized heron problem. (English) Zbl 1259.49023 Appl. Anal. 91, No. 10, 1915-1942 (2012). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 49J52 49J53 90C31 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} et al., Appl. Anal. 91, No. 10, 1915--1942 (2012; Zbl 1259.49023) Full Text: DOI arXiv
Long, Xian-Jun; Peng, Jian-Wen; Wong, Mu-Ming Generalized radial epiderivatives and nonconvex set-valued optimization problems. (English) Zbl 1280.90095 Appl. Anal. 91, No. 10, 1891-1900 (2012). MSC: 90C26 90C46 49J52 PDFBibTeX XMLCite \textit{X.-J. Long} et al., Appl. Anal. 91, No. 10, 1891--1900 (2012; Zbl 1280.90095) Full Text: DOI
Chuong, Thai Doan; Yao, Jen-Chih Steepest descent methods for critical points in vector optimization problems. (English) Zbl 1252.49052 Appl. Anal. 91, No. 10, 1811-1829 (2012). MSC: 49M30 49J52 65K05 90C25 PDFBibTeX XMLCite \textit{T. D. Chuong} and \textit{J.-C. Yao}, Appl. Anal. 91, No. 10, 1811--1829 (2012; Zbl 1252.49052) Full Text: DOI
Nam, Nguyen Mau; Wang, Bingwu Outer semicontinuity of subdifferential and normal cone mappings. (English) Zbl 1252.49020 Appl. Anal. 91, No. 12, 2145-2168 (2012). MSC: 49J52 49J53 46B20 58C20 90C31 PDFBibTeX XMLCite \textit{N. M. Nam} and \textit{B. Wang}, Appl. Anal. 91, No. 12, 2145--2168 (2012; Zbl 1252.49020) Full Text: DOI
Samir, Lahrech; Amal, Bouaicha Second order conditions for constrained optimization problems in binormed spaces. (English) Zbl 1251.49023 Int. J. Math. Anal., Ruse 6, No. 37-40, 1837-1845 (2012). MSC: 49J52 49J50 PDFBibTeX XMLCite \textit{L. Samir} and \textit{B. Amal}, Int. J. Math. Anal., Ruse 6, No. 37--40, 1837--1845 (2012; Zbl 1251.49023) Full Text: Link
Chen, Michael Martin Xiaojun Smoothing methods for nonsmooth, nonconvex minimization. (English) Zbl 1266.90145 Math. Program. 134, No. 1 (B), 71-99 (2012). Reviewer: Karel Zimmermann (Praha) MSC: 90C26 90C30 49M37 65K10 PDFBibTeX XMLCite \textit{M. M. X. Chen}, Math. Program. 134, No. 1 (B), 71--99 (2012; Zbl 1266.90145) Full Text: DOI
Goncharov, Vladimir V.; Pereira, Fátima F. Geometric conditions for regularity in a time-minimum problem with constant dynamics. (English) Zbl 1252.49061 J. Convex Anal. 19, No. 3, 631-669 (2012). MSC: 49N60 49K40 49J52 49N15 PDFBibTeX XMLCite \textit{V. V. Goncharov} and \textit{F. F. Pereira}, J. Convex Anal. 19, No. 3, 631--669 (2012; Zbl 1252.49061) Full Text: Link
Long, Xian-Jun; Peng, Jian-Wen; Wu, Soon-Yi Generalized vector variational-like inequalities and nonsmooth vector optimization problems. (English) Zbl 1274.90358 Optimization 61, No. 9, 1075-1086 (2012). MSC: 90C29 49J52 PDFBibTeX XMLCite \textit{X.-J. Long} et al., Optimization 61, No. 9, 1075--1086 (2012; Zbl 1274.90358) Full Text: DOI
Lu, Zhaosong; Zhang, Yong An augmented Lagrangian approach for sparse principal component analysis. (English) Zbl 1263.90093 Math. Program. 135, No. 1-2 (A), 149-193 (2012). Reviewer: Jan-Joachim Rückmann (Puebla) MSC: 90C30 62H20 62H25 62H30 65K05 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{Y. Zhang}, Math. Program. 135, No. 1--2 (A), 149--193 (2012; Zbl 1263.90093) Full Text: DOI arXiv
Zheng, Xi Yin; Ng, Kung Fu Subsmooth semi-infinite and infinite optimization problems. (English) Zbl 1259.90141 Math. Program. 134, No. 2 (A), 365-393 (2012). Reviewer: Gerhard-Wilhelm Weber, Erik Kropat, Başak Akteke-Öztürk MSC: 90C30 90C34 49J52 65K10 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Math. Program. 134, No. 2 (A), 365--393 (2012; Zbl 1259.90141) Full Text: DOI
Nghia, T. T. A. A nondegenerate fuzzy optimality condition for constrained optimization problems without qualification conditions. (English) Zbl 1269.49020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6379-6390 (2012). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 49K27 90C48 90C30 PDFBibTeX XMLCite \textit{T. T. A. Nghia}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6379--6390 (2012; Zbl 1269.49020) Full Text: DOI
Mishra, S. K.; Jaiswal, M.; Le Thi, H. A. Nonsmooth semi-infinite programming problem using limiting subdifferentials. (English) Zbl 1274.90442 J. Glob. Optim. 53, No. 2, 285-296 (2012). MSC: 90C34 PDFBibTeX XMLCite \textit{S. K. Mishra} et al., J. Glob. Optim. 53, No. 2, 285--296 (2012; Zbl 1274.90442) Full Text: DOI
Combettes, Patrick L.; Pesquet, Jean-Christophe Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators. (English) Zbl 1284.47043 Set-Valued Var. Anal. 20, No. 2, 307-330 (2012). Reviewer: Szilárd László (Cluj-Napoca) MSC: 47J25 47J22 47H05 47H04 49M29 49M27 90C25 49N15 PDFBibTeX XMLCite \textit{P. L. Combettes} and \textit{J.-C. Pesquet}, Set-Valued Var. Anal. 20, No. 2, 307--330 (2012; Zbl 1284.47043) Full Text: DOI arXiv HAL
Duchi, John C.; Bartlett, Peter L.; Wainwright, Martin J. Randomized smoothing for stochastic optimization. (English) Zbl 1267.65063 SIAM J. Optim. 22, No. 2, 674-701 (2012). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C15 90C25 PDFBibTeX XMLCite \textit{J. C. Duchi} et al., SIAM J. Optim. 22, No. 2, 674--701 (2012; Zbl 1267.65063) Full Text: DOI arXiv
Curtis, Frank E.; Overton, Michael L. A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. (English) Zbl 1246.49031 SIAM J. Optim. 22, No. 2, 474-500 (2012). MSC: 49M37 65K05 65K10 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{M. L. Overton}, SIAM J. Optim. 22, No. 2, 474--500 (2012; Zbl 1246.49031) Full Text: DOI
Gürbüzbalaban, Mert; Overton, Michael L. Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. (English) Zbl 1253.15010 SIAM J. Optim. 22, No. 2, 281-285 (2012). MSC: 15A18 93D09 49J52 65K10 90C26 PDFBibTeX XMLCite \textit{M. Gürbüzbalaban} and \textit{M. L. Overton}, SIAM J. Optim. 22, No. 2, 281--285 (2012; Zbl 1253.15010) Full Text: DOI
Resmerita, Elena Towards using coderivatives for convergence rates in regularization. (English) Zbl 1284.47040 Reich, Simeon (ed.) et al., Optimization theory and related topics. A workshop in memory of Dan Butnariu, Haifa, Israel, January 11–14, 2010. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-6908-6/pbk; 978-0-8218-8778-3/ebook). Contemporary Mathematics 568. Israel Mathematical Conference Proceedings, 241-249 (2012). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47J06 65J20 47H04 65K10 PDFBibTeX XMLCite \textit{E. Resmerita}, Contemp. Math. 568, 241--249 (2012; Zbl 1284.47040) Full Text: DOI
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith Ergodic convergence in subgradient optimization with application to simplical decomposition of convex programs. (English) Zbl 1275.90058 Reich, Simeon (ed.) et al., Optimization theory and related topics. A workshop in memory of Dan Butnariu, Haifa, Israel, January 11–14, 2010. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-6908-6/pbk; 978-0-8218-8778-3/ebook). Contemporary Mathematics 568. Israel Mathematical Conference Proceedings, 159-189 (2012). MSC: 90C25 90C47 90C46 PDFBibTeX XMLCite \textit{T. Larsson} et al., Contemp. Math. 568, 159--189 (2012; Zbl 1275.90058) Full Text: DOI
Zheng, Xi Yin; Wei, Zhou Perturbation analysis of error bounds for quasi-subsmooth inequalities and semi-infinite constraint systems. (English) Zbl 1250.49019 SIAM J. Optim. 22, No. 1, 41-65 (2012). MSC: 49J52 49J53 90C31 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{Z. Wei}, SIAM J. Optim. 22, No. 1, 41--65 (2012; Zbl 1250.49019) Full Text: DOI
Herzog, Roland; Stadler, Georg; Wachsmuth, Gerd Directional sparsity in optimal control of partial differential equations. (English) Zbl 1244.49038 SIAM J. Control Optim. 50, No. 2, 943-963 (2012). MSC: 49K20 65K10 49M15 49J52 PDFBibTeX XMLCite \textit{R. Herzog} et al., SIAM J. Control Optim. 50, No. 2, 943--963 (2012; Zbl 1244.49038) Full Text: DOI
Alves, Maicon Marques; Svaiter, Benar Fux A new qualification condition for the maximality of the sum of maximal monotone operators in general Banach spaces. (English) Zbl 1256.47033 J. Convex Anal. 19, No. 2, 575-589 (2012). Reviewer: Yuqiang Feng (Wuhan) MSC: 47H05 49J52 47N10 PDFBibTeX XMLCite \textit{M. M. Alves} and \textit{B. F. Svaiter}, J. Convex Anal. 19, No. 2, 575--589 (2012; Zbl 1256.47033) Full Text: Link
Nam, Nguyen Mau; Nguyen, Thai An; Salinas, Juan Applications of convex analysis to the smallest intersecting ball problem. (English) Zbl 1257.49017 J. Convex Anal. 19, No. 2, 497-518 (2012). MSC: 49J52 49J53 90C31 93B27 PDFBibTeX XMLCite \textit{N. M. Nam} et al., J. Convex Anal. 19, No. 2, 497--518 (2012; Zbl 1257.49017) Full Text: arXiv Link
Al-Homidan, Suliman; Ansari, Qamrul Hasan Relations between generalized vector variational-like inequalities and vector optimization problems. (English) Zbl 1244.49026 Taiwanese J. Math. 16, No. 3, 987-998 (2012). MSC: 49J52 49J53 90C26 49J40 65K10 PDFBibTeX XMLCite \textit{S. Al-Homidan} and \textit{Q. H. Ansari}, Taiwanese J. Math. 16, No. 3, 987--998 (2012; Zbl 1244.49026) Full Text: DOI Link
Jourani, A.; Thibault, L.; Zagrodny, D. \(C^{1,\omega (\cdot )}\)-regularity and Lipschitz-like properties of subdifferential. (English) Zbl 1251.49021 Proc. Lond. Math. Soc. (3) 105, No. 1, 189-223 (2012). MSC: 49J52 49N60 49J53 46N10 58C20 28B20 47H04 49J50 54C65 PDFBibTeX XMLCite \textit{A. Jourani} et al., Proc. Lond. Math. Soc. (3) 105, No. 1, 189--223 (2012; Zbl 1251.49021) Full Text: DOI
Zhu, Jiang; Wei, Lei; Cho, Yeol Je; Zhu, Cheng Cheng Vectorial Ekeland variational principles and inclusion problems in cone quasi-uniform spaces. (English) Zbl 1243.49018 Abstr. Appl. Anal. 2012, Article ID 310369, 19 p. (2012). MSC: 49J52 PDFBibTeX XMLCite \textit{J. Zhu} et al., Abstr. Appl. Anal. 2012, Article ID 310369, 19 p. (2012; Zbl 1243.49018) Full Text: DOI
Chuong, Thai Doan \(L\)-invex-infine functions and applications. (English) Zbl 1243.49031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 5044-5052 (2012). MSC: 49K40 49J52 90C29 90C31 PDFBibTeX XMLCite \textit{T. D. Chuong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 5044--5052 (2012; Zbl 1243.49031) Full Text: DOI
Zalmai, G. J.; Zhang, Qinghong Optimality conditions and duality in nonsmooth semiinfinite programming. (English) Zbl 1258.90094 Numer. Funct. Anal. Optim. 33, No. 4, 452-472 (2012). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C34 90C46 90C30 90C26 PDFBibTeX XMLCite \textit{G. J. Zalmai} and \textit{Q. Zhang}, Numer. Funct. Anal. Optim. 33, No. 4, 452--472 (2012; Zbl 1258.90094)
García, Yboon; Lassonde, Marc Representable monotone operators and limits of sequences of maximal monotone operators. (English) Zbl 1277.47066 Set-Valued Var. Anal. 20, No. 1, 61-73 (2012). Reviewer: Orestes Bueno (Lima) MSC: 47H05 49J52 46N10 PDFBibTeX XMLCite \textit{Y. García} and \textit{M. Lassonde}, Set-Valued Var. Anal. 20, No. 1, 61--73 (2012; Zbl 1277.47066) Full Text: DOI arXiv
Scholtes, Stefan Introduction to piecewise differentiable equations. (English) Zbl 1453.49002 SpringerBriefs in Optimization. Berlin: Springer (ISBN 978-1-4614-4339-1/pbk; 978-1-4614-4340-7/ebook). x, 133 p. (2012). MSC: 49-02 26B05 49J52 49K40 90C26 90C29 90C33 PDFBibTeX XMLCite \textit{S. Scholtes}, Introduction to piecewise differentiable equations. Berlin: Springer (2012; Zbl 1453.49002) Full Text: DOI
Le Thi Hoai An; Pham Dinh Tao; Ngai Huynh Van Exact penalty and error bounds in DC programming. (English) Zbl 1242.49037 J. Glob. Optim. 52, No. 3, 509-535 (2012). MSC: 49J52 90C20 90C26 90C30 90C46 PDFBibTeX XMLCite \textit{Le Thi Hoai An} et al., J. Glob. Optim. 52, No. 3, 509--535 (2012; Zbl 1242.49037) Full Text: DOI
Zaslavski, Alexander J. Exact penalty and necessary optimality conditions in constrained optimization. (English) Zbl 1248.49034 J. Nonlinear Convex Anal. 13, No. 2, 207-219 (2012). MSC: 49K27 49M30 90C26 90C30 49J52 PDFBibTeX XMLCite \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 13, No. 2, 207--219 (2012; Zbl 1248.49034) Full Text: Link
Viscolani, Bruno Pure-strategy Nash equilibria in an advertising game with interference. (English) Zbl 1237.91072 Eur. J. Oper. Res. 216, No. 3, 605-612 (2012). MSC: 91A80 90B60 91A10 PDFBibTeX XMLCite \textit{B. Viscolani}, Eur. J. Oper. Res. 216, No. 3, 605--612 (2012; Zbl 1237.91072) Full Text: DOI
Richtárik, Peter Approximate level method for nonsmooth convex minimization. (English) Zbl 1237.90183 J. Optim. Theory Appl. 152, No. 2, 334-350 (2012). MSC: 90C25 90C59 90C31 PDFBibTeX XMLCite \textit{P. Richtárik}, J. Optim. Theory Appl. 152, No. 2, 334--350 (2012; Zbl 1237.90183) Full Text: DOI
Bonanno, Gabriele A critical point theorem via the Ekeland variational principle. (English) Zbl 1239.58011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2992-3007 (2012). MSC: 58E30 49J52 49J50 35J40 46E05 58C20 PDFBibTeX XMLCite \textit{G. Bonanno}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2992--3007 (2012; Zbl 1239.58011) Full Text: DOI
Zhang, Jie; Zhang, Li-Wei; Wang, Wei On constraint qualifications in terms of approximate Jacobians for nonsmooth continuous optimization problems. (English) Zbl 1267.90146 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2566-2580 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2566--2580 (2012; Zbl 1267.90146) Full Text: DOI
Gould, Nicholas I. M.; Robinson, Daniel P. A second-derivative SQP method with a ‘trust-region-free’ predictor step. (English) Zbl 1246.65089 IMA J. Numer. Anal. 32, No. 2, 580-601 (2012). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{D. P. Robinson}, IMA J. Numer. Anal. 32, No. 2, 580--601 (2012; Zbl 1246.65089) Full Text: DOI Link
Squassina, Marco Symmetry in variational principles and applications. (English) Zbl 1242.35009 J. Lond. Math. Soc., II. Ser. 85, No. 2, 323-348 (2012). MSC: 35A15 35B06 58E05 65K10 PDFBibTeX XMLCite \textit{M. Squassina}, J. Lond. Math. Soc., II. Ser. 85, No. 2, 323--348 (2012; Zbl 1242.35009) Full Text: DOI arXiv
Wei, Zhou Linear regularity for an infinite system formed by \(p\)-uniformly subsmooth sets in Banach spaces. (English) Zbl 1235.90155 Taiwanese J. Math. 16, No. 1, 335-352 (2012). MSC: 90C31 90C25 49J52 46B20 PDFBibTeX XMLCite \textit{Z. Wei}, Taiwanese J. Math. 16, No. 1, 335--352 (2012; Zbl 1235.90155) Full Text: DOI Link
Antczak, Tadeusz Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under \((\varPhi, \rho)\)-invexity. (English) Zbl 1235.90133 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3107-3121 (2012). MSC: 90C29 90C26 49J52 PDFBibTeX XMLCite \textit{T. Antczak}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3107--3121 (2012; Zbl 1235.90133) Full Text: DOI
Lai, Hang-Chin; Ho, Shun-Chin Duality for a system of multiobjective problems with exponential type invextiy functionserators. (English) Zbl 1254.90211 J. Nonlinear Convex Anal. 13, No. 1, 97-110 (2012). Reviewer: Kaisa Miettinen (Helsinki) MSC: 90C29 90C46 90C32 PDFBibTeX XMLCite \textit{H.-C. Lai} and \textit{S.-C. Ho}, J. Nonlinear Convex Anal. 13, No. 1, 97--110 (2012; Zbl 1254.90211) Full Text: Link
Zhou, Jinchuan; Mordukhovich, Boris S.; Xiu, Naihua Complete characterizations of local weak sharp minima with applications to semi-infinite optimization and complementarity. (English) Zbl 1236.49038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1700-1718 (2012). MSC: 49J52 65K10 90C26 PDFBibTeX XMLCite \textit{J. Zhou} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1700--1718 (2012; Zbl 1236.49038) Full Text: DOI Link
Zheng, Xi Yin; Ng, Kung-Fu Metric subregularity for proximal generalized equations in Hilbert spaces. (English) Zbl 1254.90248 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1686-1699 (2012). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K.-F. Ng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1686--1699 (2012; Zbl 1254.90248) Full Text: DOI
Volle, Michel; Hiriart-Urruty, Jean-Baptiste A characterization of essentially strictly convex functions on reflexive Banach spaces. (English) Zbl 1244.46019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1617-1622 (2012). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 46G05 49J52 49J53 26B25 26E15 46N10 PDFBibTeX XMLCite \textit{M. Volle} and \textit{J.-B. Hiriart-Urruty}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1617--1622 (2012; Zbl 1244.46019) Full Text: DOI
Nam, Nguyen Mau; Wang, Bingwu Metric regularity, tangential distances and generalized differentiation in Banach spaces. (English) Zbl 1236.49036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1496-1506 (2012). MSC: 49J52 49J53 49N60 46B20 58C20 90C31 PDFBibTeX XMLCite \textit{N. M. Nam} and \textit{B. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1496--1506 (2012; Zbl 1236.49036) Full Text: DOI
Meng, Li; Li, Chong; Yao, Jen-Chih Limiting subdifferentials of perturbed distance functions in Banach spaces. (English) Zbl 1236.49035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1483-1495 (2012). MSC: 49J52 46N10 49K27 49K40 PDFBibTeX XMLCite \textit{L. Meng} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1483--1495 (2012; Zbl 1236.49035) Full Text: DOI
Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. Generalized Newton’s method based on graphical derivatives. (English) Zbl 1236.49069 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1324-1340 (2012); erratum ibid. 86, 157–158 (2013). MSC: 49M15 49J53 65K15 90C30 49K40 PDFBibTeX XMLCite \textit{T. Hoheisel} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1324--1340 (2012; Zbl 1236.49069) Full Text: DOI arXiv
Gürbüzbalaban, Mert; Overton, Michael L. On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. (English) Zbl 1269.49018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1282-1289 (2012). MSC: 49J52 90C26 PDFBibTeX XMLCite \textit{M. Gürbüzbalaban} and \textit{M. L. Overton}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1282--1289 (2012; Zbl 1269.49018) Full Text: DOI
Burachik, Regina S.; Kaya, C. Yalçın An augmented penalty function method with penalty parameter updates for nonconvex optimization. (English) Zbl 1229.90135 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1158-1167 (2012). MSC: 90C26 49M29 49M37 90C90 PDFBibTeX XMLCite \textit{R. S. Burachik} and \textit{C. Y. Kaya}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1158--1167 (2012; Zbl 1229.90135) Full Text: DOI Link
Boţ, Radu Ioan An upper estimate for the Clarke subdifferential of an infimal value function proved via the Mordukhovich subdifferential. (English) Zbl 1236.49033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1141-1146 (2012). MSC: 49J52 90C26 90C56 PDFBibTeX XMLCite \textit{R. I. Boţ}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1141--1146 (2012; Zbl 1236.49033) Full Text: DOI
Baier, Robert; Farkhi, Elza; Roshchina, Vera The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples. (English) Zbl 1236.49031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1074-1088 (2012). MSC: 49J52 26B25 90C26 PDFBibTeX XMLCite \textit{R. Baier} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1074--1088 (2012; Zbl 1236.49031) Full Text: DOI
Baier, Robert; Farkhi, Elza; Roshchina, Vera The directed and Rubinov subdifferentials of quasidifferentiable functions. II: Calculus. (English) Zbl 1242.49033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1058-1073 (2012). MSC: 49J52 26B25 90C26 PDFBibTeX XMLCite \textit{R. Baier} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1058--1073 (2012; Zbl 1242.49033) Full Text: DOI arXiv
Orihuela, J.; Galán, M. Ruiz A coercive James’s weak compactness theorem and nonlinear variational problems. (English) Zbl 1248.46015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 598-611 (2012). Reviewer: Aris Daniilidis (Bellaterra) MSC: 46B10 49J52 47J20 46N10 91B30 PDFBibTeX XMLCite \textit{J. Orihuela} and \textit{M. R. Galán}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 598--611 (2012; Zbl 1248.46015) Full Text: DOI
Shikhman, Vladimir Topological aspects of nonsmooth optimization. (English) Zbl 1234.90001 Springer Optimization and Its Applications 64. New York, NY: Springer (ISBN 978-1-4614-1896-2/hbk; 978-1-4614-1897-9/ebook). xi, 193 p. (2012). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90-02 49J52 90C33 90C34 58E05 PDFBibTeX XMLCite \textit{V. Shikhman}, Topological aspects of nonsmooth optimization. New York, NY: Springer (2012; Zbl 1234.90001) Full Text: DOI Link