Optimality and duality for multiobjective fractional programming involving n-set functions

被引：7

作者：

Kim, DS ^{[1
]}

Jo, CL ^{[1
]}

Lee, GM ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 224卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.5974

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a multiobjective fractional programming problem (MFP) involving vector-valued objective n-set functions in which their numerators are different from each other, but their denominators are the same. By using the concept of proper efficiency, we establish optimality conditions and duality relations for our problem (MFP) under convexity assumptions on objective and constrained functions. (C) 1998 Academic Press.

引用

页码：1 / 13

页数：13

共 50 条

[41] ON THE OPTIMALITY OF DIFFERENTIABLE NONCONVEX N-SET FUNCTIONS
LIN, LJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) : 351 - 366
[42] Optimality and duality for generalized fractional programming involving nonsmooth (F,ρ)-convex functions
Natl Overseas Chinese Student Univ, Linkou, Taiwan
Comput Math Appl, 2 (91-102):
[43] Approximate saddle point and duality for multiobjective n-set optimization
Bhatia, D
Mehra, A
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (5-6) : 475 - 488
[44] Optimality and duality for a class of nondifferentiable multiobjective fractional programming problems
Kim, D. S.
Kim, S. J.
Kim, M. H.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 129 (01) : 131 - 146
[45] Optimality and duality results for a nondifferentiable multiobjective fractional programming problem
Ramu Dubey
Shiv K Gupta
Meraj Ali Khan
Journal of Inequalities and Applications, 2015
[46] OPTIMALITY CONDITIONS AND DUALITY IN SUBDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL-PROGRAMMING
BECTOR, CR
CHANDRA, S
HUSAIN, I
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 79 (01) : 105 - 125
[47] Optimality and duality for nonsmooth multiobjective fractional programming with mixed constraints
S. Nobakhtian
Journal of Global Optimization, 2008, 41 : 103 - 115
[48] Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity
Kuk, H
Lee, GM
Tanino, T
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (01) : 365 - 375
[49] Optimality and duality in nonsmooth multiobjective fractional programming problem with constraints
Van Su, Tran
Hang, Dinh Dieu
4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2022, 20 (01): : 105 - 137
[50] Optimality and duality results for a nondifferentiable multiobjective fractional programming problem
Dubey, Ramu
Gupta, Shiv K.
Khan, Meraj Ali
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 18

← 1 2 3 4 5 →