Optimality conditions for multiobjective programming with generalized (I,rho,theta)-convex set functions

被引：15

作者：

Lai, HC ^{[1
]}

Liu, JC ^{[1
]}

机构：

[1] NATL OVERSEAS CHINESE STUDENT UNIV,SECT MATH,LINKOU 24499,TAIWAN

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 215卷 / 02期

关键词：

D O I：

10.1006/jmaa.1997.5644

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary conditions for Pareto optimality in multiobjective programming with subdifferentiable set functions are established in Theorem 12 of H. C. Lai and L. J. Lin (J. Math. Anal. Appl. 132, 1988, 558-571). In this paper, we establish some sufficient conditions under which a feasible solution of such a problem will be Pareto optimal provided that a weaker convexity requirement is satisfied; for instance (F, rho theta)-convexity is assumed for both objective and constraint set functions. Some duality models are also discussed. Wolfe-type and Mond-Weir-type duality theorems are proved. (C) 1997 Academic Press.

引用

页码：443 / 460

页数：18

共 37 条

[1]

BECTOR CR, 1994, UTILITAS MATHEMATICA, V45, P91

[2] EFFICIENCY AND DUALITY FOR NONLINEAR MULTIOBJECTIVE PROGRAMS INVOLVING N-SET FUNCTIONS [J].

BECTOR, CR ;

BHATIA, D ;

PANDEY, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 182 (02) :486-500

[3] DUALITY FOR MULTIOBJECTIVE FRACTIONAL-PROGRAMMING INVOLVING N-SET FUNCTIONS [J].

BECTOR, CR ;

BHATIA, D ;

PANDEY, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (03) :747-768

[4]

Bhatia D., 1993, Journal of Information & Optimization Sciences, V14, P321

[5]

Bhatja D., 1994, Optimization, V31, P153

[6] 2ND ORDER OPTIMALITY CONDITIONS FOR MATHEMATICAL-PROGRAMMING WITH SET-FUNCTIONS [J].

CHOU, JH ;

HSIA, WS ;

LEE, TY .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1985, 26 (JAN) :284-292

[7] EXISTENCE AND LAGRANGIAN-DUALITY FOR MAXIMIZATIONS OF SET-VALUED FUNCTIONS [J].

CORLEY, HW .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 54 (03) :489-501

[8] OPTIMIZATION THEORY FOR N-SET FUNCTIONS [J].

CORLEY, HW .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (01) :193-205

[9] SUFFICIENCY AND DUALITY IN MULTIOBJECTIVE PROGRAMMING INVOLVING GENERALIZED F-CONVEX FUNCTIONS [J].

GULATI, TR ;

ISLAM, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 183 (01) :181-195

[10] LAGRANGE MULTIPLIER THEOREM OF MULTIOBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS [J].

HSIA, WS ;

LEE, TY ;

LEE, JY .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 70 (01) :137-155

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