Amahroq, Tijani; Oussarhan, Abdessamad Existence of Lagrange multipliers for set optimization with application to vector equilibrium problems. (English) Zbl 07538429 Optimization 71, No. 5, 1305-1329 (2022). MSC: 90C29 90C46 74G20 54C60 PDF BibTeX XML Cite \textit{T. Amahroq} and \textit{A. Oussarhan}, Optimization 71, No. 5, 1305--1329 (2022; Zbl 07538429) Full Text: DOI OpenURL
Ansari, Qamrul Hasan; Sharma, Pradeep Kumar Some properties of generalized oriented distance function and their applications to set optimization problems. (English) Zbl 07528349 J. Optim. Theory Appl. 193, No. 1-3, 247-279 (2022). MSC: 90C29 90C30 PDF BibTeX XML Cite \textit{Q. H. Ansari} and \textit{P. K. Sharma}, J. Optim. Theory Appl. 193, No. 1--3, 247--279 (2022; Zbl 07528349) Full Text: DOI OpenURL
Gao, Ying; Yue, Rui-Xue; Tang, Li-Ping Scalarization and optimality conditions for the approximate solutions to vector variational inequalities in Banach spaces. (English) Zbl 1483.90150 Bull. Iran. Math. Soc. 48, No. 1, 165-186 (2022). MSC: 90C29 90C26 90C30 PDF BibTeX XML Cite \textit{Y. Gao} et al., Bull. Iran. Math. Soc. 48, No. 1, 165--186 (2022; Zbl 1483.90150) Full Text: DOI OpenURL
Han, Yu; Huang, Nan-Jing; Wen, Ching-Feng A set scalarization function and dini directional derivatives with applications in set optimization problems. (English) Zbl 07557732 J. Nonlinear Var. Anal. 5, No. 6, 909-927 (2021). MSC: 47-XX 46-XX PDF BibTeX XML Cite \textit{Y. Han} et al., J. Nonlinear Var. Anal. 5, No. 6, 909--927 (2021; Zbl 07557732) Full Text: DOI OpenURL
Jiménez, B.; Novo, V.; Vílchez, A. Two set scalarizations based on the oriented distance with variable ordering structures: properties and application to set optimization. (English) Zbl 07449518 Numer. Funct. Anal. Optim. 42, No. 12, 1367-1392 (2021). MSC: 06A75 49J53 90C29 PDF BibTeX XML Cite \textit{B. Jiménez} et al., Numer. Funct. Anal. Optim. 42, No. 12, 1367--1392 (2021; Zbl 07449518) Full Text: DOI OpenURL
Xu, Yang-Dong; Zhou, Cheng-Ling; Zhu, Sheng-Kun Image space analysis for set optimization problems with applications. (English) Zbl 1480.90225 J. Optim. Theory Appl. 191, No. 1, 311-343 (2021). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{Y.-D. Xu} et al., J. Optim. Theory Appl. 191, No. 1, 311--343 (2021; Zbl 1480.90225) Full Text: DOI OpenURL
Xu, Yang Dong; Lei, Cheng Yu; Sun, Chun Yu Nonlinear separation methods and applications for vector equilibrium problems using improvement sets. (English) Zbl 1480.90224 Appl. Anal. 100, No. 15, 3182-3198 (2021). MSC: 90C29 90C33 90C46 PDF BibTeX XML Cite \textit{Y. D. Xu} et al., Appl. Anal. 100, No. 15, 3182--3198 (2021; Zbl 1480.90224) Full Text: DOI OpenURL
Amahroq, Tijani; Oussarhan, Abdessamad Existence of pseudo-relative sharp minimizers in set-valued optimization. (English) Zbl 1478.90115 Appl. Math. Optim. 84, No. 3, 2969-2984 (2021). MSC: 90C29 54C60 90C25 PDF BibTeX XML Cite \textit{T. Amahroq} and \textit{A. Oussarhan}, Appl. Math. Optim. 84, No. 3, 2969--2984 (2021; Zbl 1478.90115) Full Text: DOI OpenURL
Wei, Hongzhi; Li, Ruoxia; Wu, Baowei Dynamic analysis of fractional-order quaternion-valued fuzzy memristive neural networks: vector ordering approach. (English) Zbl 1467.93020 Fuzzy Sets Syst. 411, 1-24 (2021). MSC: 93A14 93C42 92B20 PDF BibTeX XML Cite \textit{H. Wei} et al., Fuzzy Sets Syst. 411, 1--24 (2021; Zbl 1467.93020) Full Text: DOI OpenURL
Xu, Y. D.; Zhang, P. P.; Zhu, S. K. Optimality conditions for efficient solutions of nonconvex constrained multiobjective optimization problems via image space analysis. (English) Zbl 07383640 Optimization 70, No. 8, 1673-1701 (2021). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{Y. D. Xu} et al., Optimization 70, No. 8, 1673--1701 (2021; Zbl 07383640) Full Text: DOI OpenURL
Huerga, L.; Jiménez, B.; Novo, V.; Vílchez, A. Six set scalarizations based on the oriented distance: continuity, convexity and application to convex set optimization. (English) Zbl 07371318 Math. Methods Oper. Res. 93, No. 2, 413-436 (2021). MSC: 06A75 49J53 90C29 PDF BibTeX XML Cite \textit{L. Huerga} et al., Math. Methods Oper. Res. 93, No. 2, 413--436 (2021; Zbl 07371318) Full Text: DOI OpenURL
Eichfelder, Gabriele; Jahn, Johannes Optimality conditions in discrete-continuous nonlinear optimization. (English) Zbl 1475.90102 Minimax Theory Appl. 6, No. 1, 127-144 (2021). Reviewer: Morteza Pakdaman (Mashhad) MSC: 90C30 90C46 90C11 PDF BibTeX XML Cite \textit{G. Eichfelder} and \textit{J. Jahn}, Minimax Theory Appl. 6, No. 1, 127--144 (2021; Zbl 1475.90102) Full Text: Link OpenURL
Wang, Jingjing; Peng, Zaiyun; Lin, Zhi; Zhou, Daqiong On the stability of solutions for the generalized vector quasi-equilibrium problems via free-disposal set. (English) Zbl 1474.49049 J. Ind. Manag. Optim. 17, No. 2, 869-887 (2021). MSC: 49K40 90C31 91B50 PDF BibTeX XML Cite \textit{J. Wang} et al., J. Ind. Manag. Optim. 17, No. 2, 869--887 (2021; Zbl 1474.49049) Full Text: DOI OpenURL
Tang, Liping; Gao, Ying Some properties of nonconvex oriented distance function and applications to vector optimization problems. (English) Zbl 1474.90422 J. Ind. Manag. Optim. 17, No. 1, 485-500 (2021). MSC: 90C29 90C26 90C30 90C46 PDF BibTeX XML Cite \textit{L. Tang} and \textit{Y. Gao}, J. Ind. Manag. Optim. 17, No. 1, 485--500 (2021; Zbl 1474.90422) Full Text: DOI OpenURL
Crespi, Giovanni Paolo; Hamel, Andreas H.; Rocca, Matteo; Schrage, Carola Set relations via families of scalar functions and approximate solutions in set optimization. (English) Zbl 07354645 Math. Oper. Res. 46, No. 1, 361-381 (2021). MSC: 47N10 46N10 PDF BibTeX XML Cite \textit{G. P. Crespi} et al., Math. Oper. Res. 46, No. 1, 361--381 (2021; Zbl 07354645) Full Text: DOI arXiv OpenURL
Soleimani-damaneh, Majid; Pourkarimi, Latif; Korhonen, Pekka J.; Wallenius, Jyrki An operational test for the existence of a consistent increasing quasi-concave value function. (English) Zbl 1487.90390 Eur. J. Oper. Res. 289, No. 1, 232-239 (2021). MSC: 90B50 PDF BibTeX XML Cite \textit{M. Soleimani-damaneh} et al., Eur. J. Oper. Res. 289, No. 1, 232--239 (2021; Zbl 1487.90390) Full Text: DOI arXiv OpenURL
Li, Fei; Yang, Xinmin A kind of equivalence of three nonlinear scalarization functions in vector optimization. (English) Zbl 07331581 J. Syst. Sci. Complex. 34, No. 2, 692-705 (2021). MSC: 90C29 PDF BibTeX XML Cite \textit{F. Li} and \textit{X. Yang}, J. Syst. Sci. Complex. 34, No. 2, 692--705 (2021; Zbl 07331581) Full Text: DOI OpenURL
Peng, Zai-Yun; Wang, Jing-Jing; Long, Xian-Jun; Liu, Fu-Ping Painlevé-Kuratowski convergence of solutions for perturbed symmetric set-valued quasi-equilibrium problem via improvement sets. (English) Zbl 1459.90212 Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040003, 22 p. (2020). MSC: 90C33 90C31 PDF BibTeX XML Cite \textit{Z.-Y. Peng} et al., Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040003, 22 p. (2020; Zbl 1459.90212) Full Text: DOI OpenURL
Zhang, Yameng; Yu, Guolin; Han, Wenyan Optimality conditions and scalarization of approximate quasi weak efficient solutions for vector equilibrium problem. (English) Zbl 1451.90162 Complexity 2020, Article ID 1063251, 7 p. (2020). MSC: 90C33 90C46 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Complexity 2020, Article ID 1063251, 7 p. (2020; Zbl 1451.90162) Full Text: DOI OpenURL
Li, Ke-Ke; Peng, Zai-Yun; Lin, Zhi; Long, Xian-Jun Continuity of the solution set mappings for parametric unified weak quasivariational inequalities via free-disposal set mappings. (English) Zbl 1447.49023 Optimization 69, No. 9, 1895-1912 (2020). MSC: 49J45 49J40 PDF BibTeX XML Cite \textit{K.-K. Li} et al., Optimization 69, No. 9, 1895--1912 (2020; Zbl 1447.49023) Full Text: DOI OpenURL
Wei, Hong-Zhi; Chen, Chun-Rong; Li, Sheng-Jie Robustness characterizations for uncertain optimization problems via image space analysis. (English) Zbl 07239442 J. Optim. Theory Appl. 186, No. 2, 459-479 (2020). MSC: 90C31 90C17 90C30 90C29 90C46 PDF BibTeX XML Cite \textit{H.-Z. Wei} et al., J. Optim. Theory Appl. 186, No. 2, 459--479 (2020; Zbl 07239442) Full Text: DOI OpenURL
Huerga, L.; Jiménez, B.; Novo, V. Lagrange multipliers in convex set optimization with the set and vector criteria. (English) Zbl 1468.90123 Vietnam J. Math. 48, No. 2, 345-362 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 90C29 49J53 PDF BibTeX XML Cite \textit{L. Huerga} et al., Vietnam J. Math. 48, No. 2, 345--362 (2020; Zbl 1468.90123) Full Text: DOI OpenURL
Wei, Hong-Zhi; Zuo, Xin; Chen, Chun-Rong Unified vector quasiequilibrium problems via improvement sets and nonlinear scalarization with stability analysis. (English) Zbl 1439.49048 Numer. Algebra Control Optim. 10, No. 1, 107-125 (2020). MSC: 49K40 90C31 47J20 90C29 49J53 PDF BibTeX XML Cite \textit{H.-Z. Wei} et al., Numer. Algebra Control Optim. 10, No. 1, 107--125 (2020; Zbl 1439.49048) Full Text: DOI OpenURL
Amahroq, Tijani; Oussarhan, Abdessamad; Syam, Aicha On Lagrange multiplier rules for set-valued optimization problems in the sense of set criterion. (English) Zbl 1433.90146 Numer. Funct. Anal. Optim. 41, No. 6, 710-729 (2020). MSC: 90C29 90C46 54C60 PDF BibTeX XML Cite \textit{T. Amahroq} et al., Numer. Funct. Anal. Optim. 41, No. 6, 710--729 (2020; Zbl 1433.90146) Full Text: DOI OpenURL
Ha, Truong Xuan Duc A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa’s set approach. (English) Zbl 1445.49010 Math. Methods Oper. Res. 91, No. 1, 137-158 (2020). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 49J53 90C29 PDF BibTeX XML Cite \textit{T. X. D. Ha}, Math. Methods Oper. Res. 91, No. 1, 137--158 (2020; Zbl 1445.49010) Full Text: DOI OpenURL
Jiménez, B.; Novo, V.; Vílchez, A. Characterization of set relations through extensions of the oriented distance. (English) Zbl 1436.49024 Math. Methods Oper. Res. 91, No. 1, 89-115 (2020). MSC: 49J53 90C29 PDF BibTeX XML Cite \textit{B. Jiménez} et al., Math. Methods Oper. Res. 91, No. 1, 89--115 (2020; Zbl 1436.49024) Full Text: DOI OpenURL
Wei, Hong-Zhi; Chen, Chun-Rong; Li, Sheng-Jie Characterizations of multiobjective robustness on vectorization counterparts. (English) Zbl 1434.90188 Optimization 69, No. 3, 493-518 (2020). MSC: 90C29 90C30 90C31 90C17 PDF BibTeX XML Cite \textit{H.-Z. Wei} et al., Optimization 69, No. 3, 493--518 (2020; Zbl 1434.90188) Full Text: DOI OpenURL
Jiménez, B.; Novo, V.; Vílchez, A. Six set scalarizations based on the oriented distance: properties and application to set optimization. (English) Zbl 1464.90089 Optimization 69, No. 3, 437-470 (2020). MSC: 90C29 06A75 49J53 PDF BibTeX XML Cite \textit{B. Jiménez} et al., Optimization 69, No. 3, 437--470 (2020; Zbl 1464.90089) Full Text: DOI OpenURL
Xu, Yang Dong; Chen, Chun Rong; Fang, Chang Jie Hölder continuity for solution mappings of parametric non-convex strong generalized Ky Fan inequalities. (English) Zbl 1434.90189 Numer. Funct. Anal. Optim. 41, No. 3, 344-360 (2020). MSC: 90C29 49J53 49J40 90C48 90C31 PDF BibTeX XML Cite \textit{Y. D. Xu} et al., Numer. Funct. Anal. Optim. 41, No. 3, 344--360 (2020; Zbl 1434.90189) Full Text: DOI OpenURL
Zhou, Zhiang; Chen, Wang; Yang, Xinmin Scalarizations and optimality of constrained set-valued optimization using improvement sets and image space analysis. (English) Zbl 1472.90104 J. Optim. Theory Appl. 183, No. 3, 944-962 (2019). Reviewer: Shengkun Zhu (Chengdu) MSC: 90C26 90C46 PDF BibTeX XML Cite \textit{Z. Zhou} et al., J. Optim. Theory Appl. 183, No. 3, 944--962 (2019; Zbl 1472.90104) Full Text: DOI OpenURL
Khushboo; Lalitha, C. S. Scalarizations for a set optimization problem using generalized oriented distance function. (English) Zbl 1428.90133 Positivity 23, No. 5, 1195-1213 (2019). MSC: 90C26 90C29 PDF BibTeX XML Cite \textit{Khushboo} and \textit{C. S. Lalitha}, Positivity 23, No. 5, 1195--1213 (2019; Zbl 1428.90133) Full Text: DOI OpenURL
Gao, Ying; Yang, Xin-Min Properties of the nonlinear scalar functional and its applications to vector optimization problems. (English) Zbl 1425.90103 J. Glob. Optim. 73, No. 4, 869-889 (2019). MSC: 90C29 PDF BibTeX XML Cite \textit{Y. Gao} and \textit{X.-M. Yang}, J. Glob. Optim. 73, No. 4, 869--889 (2019; Zbl 1425.90103) Full Text: DOI OpenURL
Ansari, Qamrul Hasan; Köbis, Elisabeth; Sharma, Pradeep Kumar Characterizations of multiobjective robustness via oriented distance function and image space analysis. (English) Zbl 1416.49017 J. Optim. Theory Appl. 181, No. 3, 817-839 (2019). MSC: 49J53 90C29 90C30 90C31 PDF BibTeX XML Cite \textit{Q. H. Ansari} et al., J. Optim. Theory Appl. 181, No. 3, 817--839 (2019; Zbl 1416.49017) Full Text: DOI OpenURL
Luo, Honglin; Wang, Xianfu; Lukens, Brett Variational analysis on the signed distance functions. (English) Zbl 1409.49015 J. Optim. Theory Appl. 180, No. 3, 751-774 (2019). MSC: 49J53 47H04 47N10 49J52 PDF BibTeX XML Cite \textit{H. Luo} et al., J. Optim. Theory Appl. 180, No. 3, 751--774 (2019; Zbl 1409.49015) Full Text: DOI OpenURL
Tuan, Vu Anh; Le, Thanh Tam; Tammer, Christiane The Lagrange multipliers for convex vector functions in Banach spaces. (English) Zbl 1487.90639 Rev. Invest. Oper. 39, No. 3, 411-425 (2018). Reviewer: Paulo Mbunga (Kiel) MSC: 90C48 90C29 49J53 52A41 PDF BibTeX XML Cite \textit{V. A. Tuan} et al., Rev. Invest. Oper. 39, No. 3, 411--425 (2018; Zbl 1487.90639) Full Text: Link OpenURL
Chen, Jiawei; Huang, La; Li, Shengjie Separations and optimality of constrained multiobjective optimization via improvement sets. (English) Zbl 1447.90054 J. Optim. Theory Appl. 178, No. 3, 794-823 (2018). MSC: 90C29 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Optim. Theory Appl. 178, No. 3, 794--823 (2018; Zbl 1447.90054) Full Text: DOI OpenURL
Jiménez, B.; Novo, V.; Vílchez, A. A set scalarization function based on the oriented distance and relations with other set scalarizations. (English) Zbl 1405.90118 Optimization 67, No. 12, 2091-2116 (2018). MSC: 90C29 49J53 PDF BibTeX XML Cite \textit{B. Jiménez} et al., Optimization 67, No. 12, 2091--2116 (2018; Zbl 1405.90118) Full Text: DOI OpenURL
Ansari, Qamrul Hasan; Köbis, Elisabeth; Sharma, Pradeep Kumar Characterizations of set relations with respect to variable domination structures via oriented distance function. (English) Zbl 1404.49010 Optimization 67, No. 9, 1389-1407 (2018). MSC: 49J53 49K21 90C29 PDF BibTeX XML Cite \textit{Q. H. Ansari} et al., Optimization 67, No. 9, 1389--1407 (2018; Zbl 1404.49010) Full Text: DOI OpenURL
Wei, Hong-Zhi; Chen, Chun-Rong; Li, Sheng-Jie Characterizations for optimality conditions of general robust optimization problems. (English) Zbl 1394.90538 J. Optim. Theory Appl. 177, No. 3, 835-856 (2018). MSC: 90C31 90C30 90C46 PDF BibTeX XML Cite \textit{H.-Z. Wei} et al., J. Optim. Theory Appl. 177, No. 3, 835--856 (2018; Zbl 1394.90538) Full Text: DOI OpenURL
Chen, Jiawei; Köbis, Elisabeth; Köbis, Markus; Yao, Jen-Chih Image space analysis for constrained inverse vector variational inequalities via multiobjective optimization. (English) Zbl 1398.49006 J. Optim. Theory Appl. 177, No. 3, 816-834 (2018). MSC: 49J40 49K05 90C29 49N90 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Optim. Theory Appl. 177, No. 3, 816--834 (2018; Zbl 1398.49006) Full Text: DOI OpenURL
Xu, Yangdong; Zhang, Pingping Connectedness of solution sets of strong vector equilibrium problems with an application. (English) Zbl 1398.49010 J. Optim. Theory Appl. 178, No. 1, 131-152 (2018). MSC: 49J40 90C29 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{P. Zhang}, J. Optim. Theory Appl. 178, No. 1, 131--152 (2018; Zbl 1398.49010) Full Text: DOI OpenURL
Ha, Truong Xuan Duc A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization. (English) Zbl 1414.90311 Optimization 67, No. 7, 1031-1050 (2018). Reviewer: Frank Werner (Magdeburg) MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{T. X. D. Ha}, Optimization 67, No. 7, 1031--1050 (2018; Zbl 1414.90311) Full Text: DOI OpenURL
You, M. X.; Li, S. J. Characterization of duality for a generalized quasi-equilibrium problem. (English) Zbl 1408.90291 Appl. Anal. 97, No. 9, 1611-1627 (2018). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 90C33 90C46 PDF BibTeX XML Cite \textit{M. X. You} and \textit{S. J. Li}, Appl. Anal. 97, No. 9, 1611--1627 (2018; Zbl 1408.90291) Full Text: DOI OpenURL
Li, G. H.; Li, S. J.; You, M. X. Relationships between the oriented distance functional and a nonlinear separation functional. (English) Zbl 1410.90185 J. Math. Anal. Appl. 466, No. 1, 1109-1117 (2018). Reviewer: Dinh The Luc (Avignon) MSC: 90C29 90C26 PDF BibTeX XML Cite \textit{G. H. Li} et al., J. Math. Anal. Appl. 466, No. 1, 1109--1117 (2018; Zbl 1410.90185) Full Text: DOI OpenURL
Khushboo; Lalitha, C. S. Scalarizations for a unified vector optimization problem based on order representing and order preserving properties. (English) Zbl 1421.90163 J. Glob. Optim. 70, No. 4, 903-916 (2018). Reviewer: Kaisa Miettinen (Helsinki) MSC: 90C46 90C29 90C26 PDF BibTeX XML Cite \textit{Khushboo} and \textit{C. S. Lalitha}, J. Glob. Optim. 70, No. 4, 903--916 (2018; Zbl 1421.90163) Full Text: DOI OpenURL
Truong, Xuan Duc Ha Slopes, error bounds and weak sharp Pareto minima of a vector-valued map. (English) Zbl 1393.49014 J. Optim. Theory Appl. 176, No. 3, 634-649 (2018). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J53 54C60 58C06 90C29 PDF BibTeX XML Cite \textit{X. D. H. Truong}, J. Optim. Theory Appl. 176, No. 3, 634--649 (2018; Zbl 1393.49014) Full Text: DOI OpenURL
You, M. X.; Li, S. J. Nonlinear separation concerning \(E\)-optimal solution of constrained multi-objective optimization problems. (English) Zbl 1411.90313 Optim. Lett. 12, No. 1, 123-136 (2018). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{M. X. You} and \textit{S. J. Li}, Optim. Lett. 12, No. 1, 123--136 (2018; Zbl 1411.90313) Full Text: DOI OpenURL
Chinaie, M.; Zafarani, J. Nonlinear separation in the image space with applications to constrained optimization. (English) Zbl 1386.90113 Positivity 21, No. 3, 1031-1047 (2017). MSC: 90C26 90C29 26B25 PDF BibTeX XML Cite \textit{M. Chinaie} and \textit{J. Zafarani}, Positivity 21, No. 3, 1031--1047 (2017; Zbl 1386.90113) Full Text: DOI OpenURL
Zhao, Y.; Peng, Z. Y.; Yang, X. M. Semicontinuity and convergence for vector optimization problems with approximate equilibrium constraints. (English) Zbl 1345.49034 Optimization 65, No. 7, 1397-1415 (2016). MSC: 49K40 49J53 49J40 90C29 90C31 90B20 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Optimization 65, No. 7, 1397--1415 (2016; Zbl 1345.49034) Full Text: DOI OpenURL
Pham Huu Sach; Le Anh Tuan Lower semicontinuity results in parametric multivalued weak vector equilibrium problems and applications. (English) Zbl 1345.49014 Numer. Funct. Anal. Optim. 37, No. 6, 753-785 (2016). MSC: 49J45 49J53 49K40 49J40 90C29 90C47 PDF BibTeX XML Cite \textit{Pham Huu Sach} and \textit{Le Anh Tuan}, Numer. Funct. Anal. Optim. 37, No. 6, 753--785 (2016; Zbl 1345.49014) Full Text: DOI OpenURL
Gorokhovik, V. V.; Trafimovich, M. A. First and second order optimality conditions in vector optimization problems with nontransitive preference relation. (English. Russian original) Zbl 1343.49038 Proc. Steklov Inst. Math. 292, Suppl. 1, S91-S105 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 81-96 (2014). MSC: 49K21 PDF BibTeX XML Cite \textit{V. V. Gorokhovik} and \textit{M. A. Trafimovich}, Proc. Steklov Inst. Math. 292, S91--S105 (2016; Zbl 1343.49038); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 81--96 (2014) Full Text: DOI OpenURL
Vu Anh Tuan; Tammer, Christiane; Zălinescu, Constantin The Lipschitzianity of convex vector and set-valued functions. (English) Zbl 1348.46004 Top 24, No. 1, 273-299 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46A40 46N10 49J53 52A41 90C25 90C30 90C46 PDF BibTeX XML Cite \textit{Vu Anh Tuan} et al., Top 24, No. 1, 273--299 (2016; Zbl 1348.46004) Full Text: DOI OpenURL
Xu, Y. D. Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities. (English) Zbl 1349.90772 Optim. Lett. 10, No. 3, 527-542 (2016). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 90C46 PDF BibTeX XML Cite \textit{Y. D. Xu}, Optim. Lett. 10, No. 3, 527--542 (2016; Zbl 1349.90772) Full Text: DOI OpenURL
Chinaie, M.; Zafarani, J. A new approach to constrained optimization via image space analysis. (English) Zbl 1333.90100 Positivity 20, No. 1, 99-114 (2016). MSC: 90C26 90C29 26B25 PDF BibTeX XML Cite \textit{M. Chinaie} and \textit{J. Zafarani}, Positivity 20, No. 1, 99--114 (2016; Zbl 1333.90100) Full Text: DOI OpenURL
Xu, Y. D.; Li, S. J. A new nonlinear scalarization function and applications. (English) Zbl 1334.49062 Optimization 65, No. 1, 207-231 (2016). MSC: 49J53 49K21 90C29 PDF BibTeX XML Cite \textit{Y. D. Xu} and \textit{S. J. Li}, Optimization 65, No. 1, 207--231 (2016; Zbl 1334.49062) Full Text: DOI OpenURL
Chen, Chun-Rong; Li, Li-Li; Li, Ming-Hua Hölder continuity results for nonconvex parametric generalized vector quasiequilibrium problems via nonlinear scalarizing functions. (English) Zbl 1334.49114 Optimization 65, No. 1, 35-51 (2016). MSC: 49N60 49J40 49K40 47J20 90C31 PDF BibTeX XML Cite \textit{C.-R. Chen} et al., Optimization 65, No. 1, 35--51 (2016; Zbl 1334.49114) Full Text: DOI OpenURL
Zhao, Kequan; Chen, Guangya; Yang, Xinmin Approximate proper efficiency in vector optimization. (English) Zbl 1337.90061 Optimization 64, No. 8, 1777-1793 (2015). MSC: 90C29 90C26 90C30 90C46 PDF BibTeX XML Cite \textit{K. Zhao} et al., Optimization 64, No. 8, 1777--1793 (2015; Zbl 1337.90061) Full Text: DOI OpenURL
Gutiérrez, C.; Jiménez, B.; Novo, V. Optimality conditions for quasi-solutions of vector optimization problems. (English) Zbl 1374.90338 J. Optim. Theory Appl. 167, No. 3, 796-820 (2015). Reviewer: Paulo Mbunga (Kiel) MSC: 90C29 90C30 90C46 PDF BibTeX XML Cite \textit{C. Gutiérrez} et al., J. Optim. Theory Appl. 167, No. 3, 796--820 (2015; Zbl 1374.90338) Full Text: DOI OpenURL
Chen, Jiawei; Li, Shengjie; Wan, Zhongping; Yao, Jen-Chih Vector variational-like inequalities with constraints: separation and alternative. (English) Zbl 1322.49010 J. Optim. Theory Appl. 166, No. 2, 460-479 (2015). MSC: 49J40 49J27 49K27 49J53 47J20 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Optim. Theory Appl. 166, No. 2, 460--479 (2015; Zbl 1322.49010) Full Text: DOI OpenURL
Kasimbeyli, Nergiz Existence and characterization theorems in nonconvex vector optimization. (English) Zbl 1346.90738 J. Glob. Optim. 62, No. 1, 155-165 (2015). Reviewer: Frank Werner (Magdeburg) MSC: 90C29 90C26 90C46 90C48 PDF BibTeX XML Cite \textit{N. Kasimbeyli}, J. Glob. Optim. 62, No. 1, 155--165 (2015; Zbl 1346.90738) Full Text: DOI OpenURL
Zhao, Ke Quan; Yang, Xin Min Characterizations of efficient and weakly efficient points in nonconvex vector optimization. (English) Zbl 1342.90221 J. Glob. Optim. 61, No. 3, 575-590 (2015). Reviewer: Do Van Luu (Hanoi) MSC: 90C46 90C26 90C29 PDF BibTeX XML Cite \textit{K. Q. Zhao} and \textit{X. M. Yang}, J. Glob. Optim. 61, No. 3, 575--590 (2015; Zbl 1342.90221) Full Text: DOI OpenURL
Gutiérrez, C.; Jiménez, B.; Miglierina, E.; Molho, E. Scalarization in set optimization with solid and nonsolid ordering cones. (English) Zbl 1311.49041 J. Glob. Optim. 61, No. 3, 525-552 (2015). MSC: 49J53 46N10 90C29 PDF BibTeX XML Cite \textit{C. Gutiérrez} et al., J. Glob. Optim. 61, No. 3, 525--552 (2015; Zbl 1311.49041) Full Text: DOI OpenURL
Flores-Bazán, Fabián; Flores-Bazán, Fernando; Laengle, Sigifredo Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior. (English) Zbl 1307.90142 J. Optim. Theory Appl. 164, No. 2, 455-478 (2015). MSC: 90C26 90C29 90C30 90C46 PDF BibTeX XML Cite \textit{F. Flores-Bazán} et al., J. Optim. Theory Appl. 164, No. 2, 455--478 (2015; Zbl 1307.90142) Full Text: DOI Link OpenURL
Lu, Fang; Chen, Chun-Rong Notes on Lipschitz properties of nonlinear scalarization functions with applications. (English) Zbl 1474.90413 Abstr. Appl. Anal. 2014, Article ID 792364, 10 p. (2014). MSC: 90C29 49K40 90C48 PDF BibTeX XML Cite \textit{F. Lu} and \textit{C.-R. Chen}, Abstr. Appl. Anal. 2014, Article ID 792364, 10 p. (2014; Zbl 1474.90413) Full Text: DOI OpenURL
Chen, Chunrong; Li, Lili Nonlinear scalarization with applications to Hölder continuity of approximate solutions. (English) Zbl 1322.49063 Numer. Algebra Control Optim. 4, No. 4, 295-307 (2014). MSC: 49N60 49J40 49K40 90C31 PDF BibTeX XML Cite \textit{C. Chen} and \textit{L. Li}, Numer. Algebra Control Optim. 4, No. 4, 295--307 (2014; Zbl 1322.49063) Full Text: DOI OpenURL
Zheng, Xi Yin; Li, Runxin Lagrange multiplier rules for weak approximate Pareto solutions of constrained vector optimization problems in Hilbert spaces. (English) Zbl 1378.90074 J. Optim. Theory Appl. 162, No. 2, 665-679 (2014). MSC: 90C29 90C48 90C59 PDF BibTeX XML Cite \textit{X. Y. Zheng} and \textit{R. Li}, J. Optim. Theory Appl. 162, No. 2, 665--679 (2014; Zbl 1378.90074) Full Text: DOI OpenURL
Xu, Y. D.; Li, S. J. Vector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methods. (English) Zbl 1296.90018 Appl. Anal. 93, No. 10, 2199-2210 (2014). MSC: 90B10 90B20 49J40 PDF BibTeX XML Cite \textit{Y. D. Xu} and \textit{S. J. Li}, Appl. Anal. 93, No. 10, 2199--2210 (2014; Zbl 1296.90018) Full Text: DOI OpenURL
Zhu, S. K.; Li, S. J. Unified duality theory for constrained extremum problems. II: Special duality schemes. (English) Zbl 1316.90060 J. Optim. Theory Appl. 161, No. 3, 763-782 (2014). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90C46 49N15 90C30 49K27 90C26 PDF BibTeX XML Cite \textit{S. K. Zhu} and \textit{S. J. Li}, J. Optim. Theory Appl. 161, No. 3, 763--782 (2014; Zbl 1316.90060) Full Text: DOI OpenURL
Xu, Y. D.; Li, S. J. Gap functions and error bounds for weak vector variational inequalities. (English) Zbl 1293.49025 Optimization 63, No. 9, 1339-1352 (2014). MSC: 49J40 90C48 PDF BibTeX XML Cite \textit{Y. D. Xu} and \textit{S. J. Li}, Optimization 63, No. 9, 1339--1352 (2014; Zbl 1293.49025) Full Text: DOI OpenURL
Xu, Y. D.; Li, S. J. Nonlinear separation functions and constrained extremum problems. (English) Zbl 1321.90133 Optim. Lett. 8, No. 3, 1149-1160 (2014). MSC: 90C30 90C46 PDF BibTeX XML Cite \textit{Y. D. Xu} and \textit{S. J. Li}, Optim. Lett. 8, No. 3, 1149--1160 (2014; Zbl 1321.90133) Full Text: DOI OpenURL
Durea, Marius; Strugariu, Radu; Tammer, Christiane Scalarization in geometric and functional vector optimization revisited. (English) Zbl 1297.90146 J. Optim. Theory Appl. 159, No. 3, 635-655 (2013). Reviewer: Frank Werner (Magdeburg) MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{M. Durea} et al., J. Optim. Theory Appl. 159, No. 3, 635--655 (2013; Zbl 1297.90146) Full Text: DOI OpenURL
Hu, Xiaohong; Fang, Zhimiao; Xiong, Yunxuan Strict efficiency in vector optimization with nearly convexlike set-valued maps. (English) Zbl 1278.90358 Abstr. Appl. Anal. 2013, Article ID 570918, 9 p. (2013). MSC: 90C29 PDF BibTeX XML Cite \textit{X. Hu} et al., Abstr. Appl. Anal. 2013, Article ID 570918, 9 p. (2013; Zbl 1278.90358) Full Text: DOI OpenURL
Xu, Y. D.; Li, S. J. Optimality conditions for generalized Ky Fan quasi-inequalities with applications. (English) Zbl 1282.90185 J. Optim. Theory Appl. 157, No. 3, 663-684 (2013). MSC: 90C30 90C46 90C33 PDF BibTeX XML Cite \textit{Y. D. Xu} and \textit{S. J. Li}, J. Optim. Theory Appl. 157, No. 3, 663--684 (2013; Zbl 1282.90185) Full Text: DOI OpenURL
Oveisiha, M.; Zafarani, J. Super efficient solutions for set-valued maps. (English) Zbl 1278.90363 Optimization 62, No. 6, 817-834 (2013). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{M. Oveisiha} and \textit{J. Zafarani}, Optimization 62, No. 6, 817--834 (2013; Zbl 1278.90363) Full Text: DOI OpenURL
Chuong, Thai Doan Newton-like methods for efficient solutions in vector optimization. (English) Zbl 1295.90068 Comput. Optim. Appl. 54, No. 3, 495-516 (2013). MSC: 90C29 90C48 90C53 PDF BibTeX XML Cite \textit{T. D. Chuong}, Comput. Optim. Appl. 54, No. 3, 495--516 (2013; Zbl 1295.90068) Full Text: DOI OpenURL
Qinghai, He; Binbin, Zhang Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems. (English) Zbl 1270.90065 Abstr. Appl. Anal. 2013, Article ID 678154, 6 p. (2013). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{H. Qinghai} and \textit{Z. Binbin}, Abstr. Appl. Anal. 2013, Article ID 678154, 6 p. (2013; Zbl 1270.90065) Full Text: DOI OpenURL
Zeng, J.; Li, S. J.; Zhang, W. Y.; Xue, X. W. Hadamard well-posedness for a set-valued optimization problem. (English) Zbl 1287.90072 Optim. Lett. 7, No. 3, 559-573 (2013). MSC: 90C30 PDF BibTeX XML Cite \textit{J. Zeng} et al., Optim. Lett. 7, No. 3, 559--573 (2013; Zbl 1287.90072) Full Text: DOI OpenURL
Tian, X. Q.; Xu, Y. D. Traffic network equilibrium problems with capacity constraints of arcs and linear scalarization methods. (English) Zbl 1264.90046 J. Appl. Math. 2012, Article ID 612142, 12 p. (2012). MSC: 90B20 PDF BibTeX XML Cite \textit{X. Q. Tian} and \textit{Y. D. Xu}, J. Appl. Math. 2012, Article ID 612142, 12 p. (2012; Zbl 1264.90046) Full Text: DOI OpenURL
Boţ, Radu Ioan; Csetnek, Ernö Robert Error bound results for convex inequality systems via conjugate duality. (English) Zbl 1258.49056 Top 20, No. 2, 296-309 (2012). MSC: 49N15 90C25 90C31 PDF BibTeX XML Cite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, Top 20, No. 2, 296--309 (2012; Zbl 1258.49056) Full Text: DOI arXiv OpenURL
Li, S. J.; Xu, Y. D.; Zhu, S. K. Nonlinear separation approach to constrained extremum problems. (English) Zbl 1267.90140 J. Optim. Theory Appl. 154, No. 3, 842-856 (2012). Reviewer: Jan-Joachim Rückmann (Puebla) MSC: 90C30 65K10 90C46 PDF BibTeX XML Cite \textit{S. J. Li} et al., J. Optim. Theory Appl. 154, No. 3, 842--856 (2012; Zbl 1267.90140) Full Text: DOI OpenURL
E., Ning; Song, Wen; Zhang, Yu Second order sufficient optimality conditions in vector optimization. (English) Zbl 1283.90036 J. Glob. Optim. 54, No. 3, 537-549 (2012). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{N. E.} et al., J. Glob. Optim. 54, No. 3, 537--549 (2012; Zbl 1283.90036) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. D. Chuong} and \textit{J.-C. Yao}, Appl. Anal. 91, No. 10, 1811--1829 (2012; Zbl 1252.49052) Full Text: DOI OpenURL
Gao, Y.; Hou, S. H.; Yang, X. M. Existence and optimality conditions for approximate solutions to vector optimization problems. (English) Zbl 1246.90134 J. Optim. Theory Appl. 152, No. 1, 97-120 (2012). Reviewer: Karel Zimmermann (Praha) MSC: 90C29 90C59 PDF BibTeX XML Cite \textit{Y. Gao} et al., J. Optim. Theory Appl. 152, No. 1, 97--120 (2012; Zbl 1246.90134) Full Text: DOI OpenURL
Boţ, Radu Ioan; Grad, Sorin-Mihai Duality for vector optimization problems via a general scalarization. (English) Zbl 1231.49032 Optimization 60, No. 10-12, 1269-1290 (2011). MSC: 49N15 90C25 90C29 PDF BibTeX XML Cite \textit{R. I. Boţ} and \textit{S.-M. Grad}, Optimization 60, No. 10--12, 1269--1290 (2011; Zbl 1231.49032) Full Text: DOI OpenURL
Xu, Y. D.; Li, S. J. Tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps. (English) Zbl 1213.49026 J. Inequal. Appl. 2011, Article ID 839679, 24 p. (2011). MSC: 49K10 49N15 PDF BibTeX XML Cite \textit{Y. D. Xu} and \textit{S. J. Li}, J. Inequal. Appl. 2011, Article ID 839679, 24 p. (2011; Zbl 1213.49026) Full Text: DOI EuDML OpenURL
Durea, M.; Dutta, J.; Tammer, C. Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces. (English) Zbl 1189.90137 J. Optim. Theory Appl. 145, No. 1, 196-211 (2010). MSC: 90C29 PDF BibTeX XML Cite \textit{M. Durea} et al., J. Optim. Theory Appl. 145, No. 1, 196--211 (2010; Zbl 1189.90137) Full Text: DOI OpenURL
Ha, Truong Xuan Duc The Ekeland variational principle for Henig proper minimizers and super minimizers. (English) Zbl 1181.49013 J. Math. Anal. Appl. 364, No. 1, 156-170 (2010). MSC: 49J52 49J53 PDF BibTeX XML Cite \textit{T. X. D. Ha}, J. Math. Anal. Appl. 364, No. 1, 156--170 (2010; Zbl 1181.49013) Full Text: DOI OpenURL
Miglierina, E.; Molho, E. Sectionwise connected sets in vector optimization. (English) Zbl 1167.90645 Oper. Res. Lett. 37, No. 4, 295-298 (2009). MSC: 90C29 PDF BibTeX XML Cite \textit{E. Miglierina} and \textit{E. Molho}, Oper. Res. Lett. 37, No. 4, 295--298 (2009; Zbl 1167.90645) Full Text: DOI OpenURL
Crespi, G. P.; Papalia, M.; Rocca, M. Extended well-posedness of quasiconvex vector optimization problems. (English) Zbl 1169.90020 J. Optim. Theory Appl. 141, No. 2, 285-297 (2009). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C29 90C25 PDF BibTeX XML Cite \textit{G. P. Crespi} et al., J. Optim. Theory Appl. 141, No. 2, 285--297 (2009; Zbl 1169.90020) Full Text: DOI OpenURL
Khanh, P. Q.; Tuan, N. D. Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization. (English) Zbl 1189.90138 J. Optim. Theory Appl. 139, No. 2, 243-261 (2008). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{P. Q. Khanh} and \textit{N. D. Tuan}, J. Optim. Theory Appl. 139, No. 2, 243--261 (2009; Zbl 1189.90138) Full Text: DOI OpenURL
Liu, C. G.; Ng, K. F.; Yang, W. H. Merit functions in vector optimization. (English) Zbl 1279.90153 Math. Program. 119, No. 2 (A), 215-237 (2009). MSC: 90C29 90C31 90C48 49K40 PDF BibTeX XML Cite \textit{C. G. Liu} et al., Math. Program. 119, No. 2 (A), 215--237 (2009; Zbl 1279.90153) Full Text: DOI OpenURL
Ginchev, Ivan; Guerraggio, Angelo; Rocca, Matteo Stability of properly efficient points and isolated minimizers of constrained vector optimization problems. (English) Zbl 1196.90110 Rend. Circ. Mat. Palermo (2) 56, No. 1, 137-156 (2007). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{I. Ginchev} et al., Rend. Circ. Mat. Palermo (2) 56, No. 1, 137--156 (2007; Zbl 1196.90110) Full Text: DOI OpenURL
Boţ, Radu Ioan; Grad, Sorin-Mihai; Wanka, Gert A general approach for studying duality in multiobjective optimization. (English) Zbl 1168.90604 Math. Methods Oper. Res. 65, No. 3, 417-444 (2007). MSC: 90C29 49N15 90C25 90C56 PDF BibTeX XML Cite \textit{R. I. Boţ} et al., Math. Methods Oper. Res. 65, No. 3, 417--444 (2007; Zbl 1168.90604) Full Text: DOI OpenURL
Crespi, G. P.; Guerraggio, A.; Rocca, M. Well posedness in vector optimization problems and vector variational inequalities. (English) Zbl 1119.49025 J. Optim. Theory Appl. 132, No. 1, 213-226 (2007). MSC: 49K40 90C29 47J20 PDF BibTeX XML Cite \textit{G. P. Crespi} et al., J. Optim. Theory Appl. 132, No. 1, 213--226 (2007; Zbl 1119.49025) Full Text: DOI OpenURL
Ginchev, Ivan; Guerraggio, Angelo; Rocca, Matteo Geoffrion type characterization of higher-order properly efficient points in vector optimization. (English) Zbl 1133.90392 J. Math. Anal. Appl. 328, No. 2, 780-788 (2007). MSC: 90C29 90C40 PDF BibTeX XML Cite \textit{I. Ginchev} et al., J. Math. Anal. Appl. 328, No. 2, 780--788 (2007; Zbl 1133.90392) Full Text: DOI OpenURL
Ginchev, Ivan; Guerraggio, Angelo; Rocca, Matteo From scalar to vector optimization. (English) Zbl 1164.90399 Appl. Math., Praha 51, No. 1, 5-36 (2006). MSC: 90C29 90C30 49J52 PDF BibTeX XML Cite \textit{I. Ginchev} et al., Appl. Math., Praha 51, No. 1, 5--36 (2006; Zbl 1164.90399) Full Text: DOI EuDML Link OpenURL
Ha, Truong Xuan Duc Variants of the Ekeland variational principle for a set-valued map involving the Clarke normal cone. (English) Zbl 1089.49031 J. Math. Anal. Appl. 316, No. 1, 346-356 (2006). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 49K27 49J52 49J53 90C29 PDF BibTeX XML Cite \textit{T. X. D. Ha}, J. Math. Anal. Appl. 316, No. 1, 346--356 (2006; Zbl 1089.49031) Full Text: DOI OpenURL
Crespi, Giovanni P.; Ginchev, Ivan; Rocca, Matteo A note on Minty type vector variational inequalities. (English) Zbl 1145.49002 RAIRO, Oper. Res. 39, No. 4, 253-273 (2005). Reviewer: Ya-Ping Fang (Chengdu) MSC: 49J20 49J52 49J40 90C29 PDF BibTeX XML Cite \textit{G. P. Crespi} et al., RAIRO, Oper. Res. 39, No. 4, 253--273 (2005; Zbl 1145.49002) Full Text: DOI Numdam Numdam EuDML OpenURL
Miglierina, E.; Molho, E.; Rocca, M. Well-posedness and scalarization in vector optimization. (English) Zbl 1129.90346 J. Optim. Theory Appl. 126, No. 2, 391-409 (2005). MSC: 90C29 90C31 49K40 PDF BibTeX XML Cite \textit{E. Miglierina} et al., J. Optim. Theory Appl. 126, No. 2, 391--409 (2005; Zbl 1129.90346) Full Text: DOI OpenURL
Zheng, Xi Yin; Ng, Kung Fu The Fermat rule for multifunctions on Banach spaces. (English) Zbl 1099.49020 Math. Program. 104, No. 1 (A), 69-90 (2005). Reviewer: Fabián Flores-Bazan (Concepción) MSC: 49J52 90C29 49J53 PDF BibTeX XML Cite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Math. Program. 104, No. 1 (A), 69--90 (2005; Zbl 1099.49020) Full Text: DOI OpenURL