DUALITY FOR A CLASS OF MINMAX AND INEXACT PROGRAMMING PROBLEM

被引：8

作者：

BECTOR, CR ^{[1
]}

CHANDRA, S ^{[1
]}

KUMAR, V ^{[1
]}

机构：

[1] INDIAN INST TECHNOL,DEPT MATH,NEW DELHI 110016,INDIA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 186卷 / 03期

关键词：

D O I：

10.1006/jmaa.1994.1330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Tanimoto type duality results are presented for a class of minmax programming problems by employing minmax theorems of Game Theory which are more general than the celebrated theorem of von Neumann. This, in turn, enables one to costruct a Mond-Weir type dual and thereby weaken the convexity requirements on the objective and the constraint functions. Applications of this duality to a class of inexact programming problems are also presented. (C) 1994 Academic Press, Inc.

引用

页码：735 / 746

页数：12

共 13 条

[1] BECTOR CR, 1985, UTILITAS MATHEMATICA, V25, P229
[2] EXACT SOLUTIONS OF INEXACT LINEAR PROGRAMS
FALK, JE
[J]. OPERATIONS RESEARCH, 1976, 24 (04) : 783 - 787
[3] AN EXTENSION OF SION MINIMAX THEOREM WITH AN APPLICATION TO A METHOD FOR CONSTRAINED GAMES
HARTUNG, J
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1982, 103 (02) : 401 - 408
[4] Karlin S., 1959, MATH METHODS THEORY
[5] DUALITY IN INEXACT FRACTIONAL-PROGRAMMING WITH SET-INCLUSIVE CONSTRAINTS
KAUL, RN
KAUR, S
LYALL, V
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1986, 50 (02) : 279 - 288
[6] Mangasarian O.L., 1969, NONLINEAR PROGRAMMIN
[7] CLASS OF NONDIFFERENTIABLE MATHEMATICAL PROGRAMMING PROBLEMS
MOND, B
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 46 (01) : 169 - 174
[8] Mond B, 1981, GEN CONCAVITY OPTIMI, P263, DOI DOI 10.1016/J.EJOR.2006.08.045
[9] SUBGRADIENT DUALITY THEOREM
SCHECHTER, M
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 61 (03) : 850 - 855
[10] CONVEX-PROGRAMMING WITH SET-INCLUSIVE CONSTRAINTS AND ITS APPLICATIONS TO GENERALIZED LINEAR AND FRACTIONAL-PROGRAMMING
SINGH, C
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 38 (01) : 33 - 42

← 1 2 →