Generalized fractional minimax programming with B-(p, r)-invexity

被引：30

作者：

Antczak, Tadeusz ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 06期

关键词：

fractional programming; B-(p; r)-invex function; optimality conditions; duality;

D O I：

10.1016/j.camwa.2008.02.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Optimality conditions are proved for a class of generalized fractional minimax programming problems involving B-(p, r)-invexity functions. Subsequently, these optimality conditions are utilized as a basis for constructing various duality models for this type of fractional programming problems and proving appropriate duality theorems. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1505 / 1525

页数：21

共 27 条

[1]

A class of B-(p, r)-invex functions and mathematical programming [J].

Antczak, T .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (01) :187-206

[2]

(p, r)-invex sets and functions [J].

Antczak, T .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) :355-379

[3]

ANTCZAK T, 2001, MATEMATYKA Z, V25, P5

[4]

Bazaraa M.S., 1993, NONLINEAR PROGRAMMIN

[5]

GENERALIZED FRACTIONAL-PROGRAMMING DUALITY - A PARAMETRIC APPROACH [J].

BECTOR, CR ;

CHANDRA, S ;

BECTOR, MK .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 60 (02) :243-260

[6]

GENERALIZED FRACTIONAL-PROGRAMMING DUALITY - A RATIO GAME APPROACH [J].

CHANDRA, S ;

CRAVEN, BD ;

MOND, B .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 :170-180

[7]

DUALITY IN FRACTIONAL MINIMAX PROGRAMMING [J].

CHANDRA, S ;

KUMAR, V .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1995, 58 :376-386

[8]

Charnes A., 1977, EUR J OPER RES, V1, P39, DOI [10.1016/S0377-2217(77)81007-2, DOI 10.1016/S0377-2217(77)81007-2]

[9]

INVEX FUNCTIONS AND CONSTRAINED LOCAL MINIMA [J].

CRAVEN, BD .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1981, 24 (03) :357-366

[10]

AN ALGORITHM FOR GENERALIZED FRACTIONAL PROGRAMS [J].

CROUZEIX, JP ;

FERLAND, JA ;

SCHAIBLE, S .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (01) :35-49

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