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

[1] Optimality and duality for multiobjective fractional programming involving n-set functions
J Math Anal Appl, 1 (01):
[2] DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING INVOLVING n-SET FUNCTIONS
陈世国
刘家学
ActaMathematicaScientia, 1998, (S1) : 36 - 42
[3] DUALITY FOR MULTIOBJECTIVE FRACTIONAL-PROGRAMMING INVOLVING N-SET FUNCTIONS
BECTOR, CR
BHATIA, D
PANDEY, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (03) : 747 - 768
[4] Lagrange duality in multiobjective fractional programming problems with n-set functions
Bhatia, D
Mehra, A
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 236 (02) : 300 - 311
[5] On a general duality model in multiobjective fractional programming with n-set functions
Preda, Vasile
Stancu-Minasian, Ioan M.
Beldiman, Miruna
Stancu, Andreea-Madalina
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 490 - 496
[6] Duality for multiobjective B-vex programming involving n-set functions
Bector, CR
Singh, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (03) : 701 - 726
[7] Duality relations for generalized fractional programming involving n-set functions
Kim, DS
Jo, CL
Lee, GM
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (12): : 1167 - 1173
[8] New generalized invexity for duality in multiobjective programming problems involving N-set functions
Mishra, SK
Wang, SY
Lai, KK
Shi, J
GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS, 2005, 77 : 321 - 339
[9] DUALITY IN NONDIFFERENTIABLE GENERALIZED FRACTIONAL-PROGRAMMING INVOLVING N-SET FUNCTIONS
BECTOR, CR
BHATIA, D
PANDEY, S
UTILITAS MATHEMATICA, 1994, 45 : 91 - 96
[10] On optimality and duality for multiobjective programming problems involving generalized d-type-I and related n-set functions
Preda, V
Stancu-Minasian, IM
Koller, E
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 283 (01) : 114 - 128

← 1 2 3 4 5 →