Generalized Invexity and Duality in Multiobjective Programming Problems

被引：0

作者：

Brahim Aghezzaf

Mohamed Hachimi

机构：

[1] Faculté des Sciences Aïn Chock,Département de Mathématiques et d'Informatique

[2] Faculté des Sciences Aïn Chock,Département de Mathématiques et d'Informatique

来源：

Journal of Global Optimization | 2000年 / 18卷

关键词：

Multiobjective programming; Efficient solution; Convexity; Invexity; Type I; Weak; Strong; Converse duality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we are concerned with the multiobjective programming problem with inequality constraints. We introduce new classes of generalized type I vector-valued functions. Duality theorems are proved for Mond–Weir and general Mond–Weir type duality under the above generalized type I assumptions.

引用

页码：91 / 101

页数：10

共 50 条

[21] Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Aghezzaf, B
Khazafi, K
[J]. CONTROL AND CYBERNETICS, 2004, 33 (01): : 113 - 126
[22] Duality for multiobjective variational control problems with -invexity
Antczak, Tadeusz
[J]. CALCOLO, 2014, 51 (03) : 393 - 421
[23] Symmetric duality for multiobjective variational problems with invexity
Kim, DS
Lee, WJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 218 (01) : 34 - 48
[24] Nonsmooth ρ − (η, θ)-invexity in multiobjective programming problems
C. Nahak
Ram N. Mohapatra
[J]. Optimization Letters, 2012, 6 : 253 - 260
[25] Global efficiency for multiobjective bilevel programming problems under generalized invexity
Karima Bouibed
Hachem Slimani
Mohammed Said Radjef
[J]. Journal of Applied Mathematics and Computing, 2017, 53 : 507 - 530
[26] Global efficiency for multiobjective bilevel programming problems under generalized invexity
Bouibed, Karima
Slimani, Hachem
Radjef, Mohammed Said
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 507 - 530
[27] Optimality conditions and duality for multiobjective variational problems with generalized B-invexity
Bhatia, D
Mehra, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 234 (02) : 341 - 360
[28] Symmetric duality involving invexity in multiobjective fractional programming
Lalitha, CS
Suneja, SK
Khurana, S
[J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2003, 20 (01) : 57 - 72
[29] Sufficiency and Duality for Multiobjective Programming under New Invexity
Zheng, Yingchun
Gao, Xiaoyan
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
[30] MULTIOBJECTIVE DUALITY WITH INVEXITY
EGUDO, RR
HANSON, MA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 126 (02) : 469 - 477

← 1 2 3 4 5 →