Convexificators and strong Kuhn-Tucker conditions

被引：34

作者：

Golestani, M. ^{[1
]}

Nobakhtian, S. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan 81745163, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 04期

关键词：

Multiobjective programming; Optimality conditions; Nonsmooth optimization; Convexificator; Constraint qualification; MULTIOBJECTIVE OPTIMIZATION PROBLEMS; PROGRAMMING-PROBLEMS; MULTIPLIER RULE;

D O I：

10.1016/j.camwa.2011.12.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is devoted to constraint qualifications and strong Kuhn-Tucker necessary optimality conditions for nonsmooth multiobjective optimization problems. The main tool of the study is the concept of convexificators. Mangasarian-Fromovitz type constraint qualification and several other qualifications are proposed and their relationships are investigated. In addition, sufficient optimality conditions are studied. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：550 / 557

页数：8

共 50 条

[1] Convexificators and boundedness of the Kuhn-Tucker multipliers set
Ardali, A. Ansari
Movahedian, N.
Nobakhtian, S.
OPTIMIZATION, 2017, 66 (09) : 1445 - 1463
[2] Nonsmooth multiobjective programming: strong Kuhn-Tucker conditions
Golestani, M.
Nobakhtian, S.
POSITIVITY, 2013, 17 (03) : 711 - 732
[3] ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS
HANSON, MA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) : 545 - 550
[4] On Weak and Strong Kuhn-Tucker Conditions for Smooth Multiobjective Optimization
Burachik, Regina S.
Rizvi, M. M.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (02) : 477 - 491
[5] KUHN-TUCKER CONDITIONS AND LINEAR HOMOGENEITY
ALBERT, M
ECONOMICS LETTERS, 1995, 48 (3-4) : 267 - 272
[6] KUHN-TUCKER CONDITIONS AND MULTISTAGE GAMES
MATSUMOTO, T
SHIMEMUR.E
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 23 (02) : 269 - +
[7] A GENERALIZATION OF THE KUHN-TUCKER SUFFICIENCY CONDITIONS
HANSON, MA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (01) : 146 - 155
[8] NEW DERIVATION OF KUHN-TUCKER CONDITIONS
BERNHOLTZ, B
OPERATIONS RESEARCH, 1964, 12 (02) : 295 - &
[9] Kuhn-Tucker conditions and integral functionals
Bourass, A
Giner, E
JOURNAL OF CONVEX ANALYSIS, 2001, 8 (02) : 533 - 553
[10] CONVEXIFICATORS AND STRONG KARUSH-KUHN-TUCKER CONDITIONS FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS
Lu, F.
Li, S. J.
PACIFIC JOURNAL OF OPTIMIZATION, 2016, 12 (04): : 699 - 715

← 1 2 3 4 5 →