Optimality conditions for nonsmooth semi-infinite multiobjective programming

被引：51

作者：

Kanzi, N. ^{[1
]}

Nobakhtian, S. ^{[2
]}

机构：

[1] PNU, Dept Math, Tehran, Iran

[2] Univ Isfahan, Dept Math, Esfahan, Iran

来源：

OPTIMIZATION LETTERS | 2014年 / 8卷 / 04期

关键词：

Multiobjective programming; Optimality conditions; Semi-infinite programming; Nonsmooth analysis;

D O I：

10.1007/s11590-013-0683-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper is devoted to the study of nonsmooth multiobjective semi-infinite programming problems in which the index set of the inequality constraints is an arbitrary set not necessarily finite. We introduce several kinds of constraint qualifications for these problems, and then necessary optimality conditions for weakly efficient solutions are investigated. Finally by imposing assumptions of generalized convexity we give sufficient conditions for efficient solutions.

引用

页码：1517 / 1528

页数：12

共 50 条

[1] Optimality conditions for nonsmooth semi-infinite multiobjective programming
N. Kanzi
S. Nobakhtian
[J]. Optimization Letters, 2014, 8 : 1517 - 1528
[2] COMMENTS ON "OPTIMALITY CONDITIONS FOR NONSMOOTH INTERVAL-VALUED AND MULTIOBJECTIVE SEMI-INFINITE PROGRAMMING"
Gadhi, Nazih Abderrazzak
Ichatouhane, Aissam
[J]. RAIRO-OPERATIONS RESEARCH, 2021, 55 (02) : 719 - 721
[3] Optimality Conditions and Duality for Nonsmooth Multiobjective Semi-infinite Programming Problems on Hadamard Manifolds
Upadhyay, Balendu Bhooshan
Ghosh, Arnav
Treanta, Savin
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (04)
[4] Optimality Conditions and Duality for Nonsmooth Multiobjective Semi-infinite Programming Problems on Hadamard Manifolds
Balendu Bhooshan Upadhyay
Arnav Ghosh
Savin Treanţă
[J]. Bulletin of the Iranian Mathematical Society, 2023, 49
[5] Necessary optimality conditions for a nonsmooth semi-infinite programming problem
Gadhi, Nazih Abderrazzak
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2019, 74 (01) : 161 - 168
[6] Necessary optimality conditions for a nonsmooth semi-infinite programming problem
Nazih Abderrazzak Gadhi
[J]. Journal of Global Optimization, 2019, 74 : 161 - 168
[7] Necessary and Sufficient Conditions for Optimality of Nonsmooth Semi-infinite Programming
M. Golestani
N. Kanzi
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 923 - 929
[8] Necessary and Sufficient Conditions for Optimality of Nonsmooth Semi-infinite Programming
Golestani, M.
Kanzi, N.
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A4): : 923 - 929
[9] Necessary optimality conditions for nonsmooth semi-infinite programming problems
Nader Kanzi
[J]. Journal of Global Optimization, 2011, 49 : 713 - 725
[10] A note on the paper "Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming"
Gadhi, Nazih Abderrazzak
Ichatouhane, Aissam
[J]. RAIRO-OPERATIONS RESEARCH, 2021, 55 (01) : 13 - 22

← 1 2 3 4 5 →