OPTIMALITY CONDITIONS FOR EFFICIENCY ON NONSMOOTH MULTIOBJECTIVE PROGRAMMING PROBLEMS

被引：12

作者：

Long, Xian-Jun ^{[1
]}

Huang, Nan-Jing ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Optimality condition; Nonsmooth multiobjective programming; Efficient solution; Dini directional derivatives; Convexificators; Constraint qualification; OPTIMIZATION PROBLEMS; CONSTRAINT QUALIFICATIONS; GENERALIZED CONVEXITY; VECTOR OPTIMIZATION; SUBDIFFERENTIALS; CONVEXIFACTORS; CALCULUS;

D O I：

10.11650/tjm.18.2014.3730

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a nonsmooth multiobjective programming problem is introduced and studied. By using the generalized Guignard constraint qualification, some stronger Kuhn-Tucker type necessary optimality conditions for efficiency in terms of convexificators are established, in which we are not assuming that the objective functions are directionally differentiable. Moreover, some conditions which ensure that a feasible solution is an efficient solution to nonsmooth multiobjective programming problems are also given. The results presented in this paper improve the corresponding results in the literature.

引用

页码：687 / 699

页数：13

共 50 条

[41] OPTIMALITY CONDITIONS AND DUALITY FOR A CLASS OF NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING PROBLEMS
Kim, Do Sang
Bae, Kwan Deok
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (2B): : 789 - 804
[42] OPTIMALITY CONDITIONS FOR DIRECTIONALLY DIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING-PROBLEMS
ISHIZUKA, Y
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 72 (01) : 91 - 111
[43] Nonsmooth ρ - (η, θ)-invexity in multiobjective programming problems
Nahak, C.
Mohapatra, Ram N.
[J]. OPTIMIZATION LETTERS, 2012, 6 (02) : 253 - 260
[44] SEQUENTIAL EFFICIENCY OPTIMALITY CONDITIONS FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS VIA SEQUENTIAL SUBDIFFERENTIAL CALCULUS
Moustaid, M. B.
Laghdir, M.
Dali, I
Rikouane, A.
[J]. MATEMATICHE, 2021, 76 (01): : 79 - 96
[45] SECOND-ORDER OPTIMALITY CONDITIONS AND DUALITY FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS
Van Luu, Do
[J]. Applied Set-Valued Analysis and Optimization, 2022, 4 (01): : 41 - 54
[46] Nonsmooth ρ − (η, θ)-invexity in multiobjective programming problems
C. Nahak
Ram N. Mohapatra
[J]. Optimization Letters, 2012, 6 : 253 - 260
[47] The check of optimality conditions in nonsmooth programming
Qinghi Y.
[J]. Applied Mathematics-A Journal of Chinese Universities, 1998, 13 (3) : 347 - 350
[48] THE CHECK OF OPTIMALITY CONDITIONS IN NONSMOOTH PROGRAMMING
[J]. Applied Mathematics:A Journal of Chinese Universities, 1998, (03) : 109 - 112
[49] Optimality Conditions and Saddle-Point Theory for Nonsmooth Generalized Convexity Multiobjective Programming
Wang, Cailing
Sun, Wenjuan
Zhang, You
Li, Zhongfan
[J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 1990 - +
[50] On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
C. Gutiérrez
B. Jiménez
V. Novo
[J]. Mathematical Programming, 2010, 123 : 199 - 223

← 1 2 3 4 5 →