Necessary and sufficient conditions for minimax fractional programming

被引：66

作者：

Lai, HC ^{[1
]}

Liu, JC

Tanaka, K

机构：

[1] IShou Univ, Dept Math Appl, Kaohsiung 84008, Taiwan

[2] Natl Overseas Chinese Student Univ, Mat Sect, Linkou 24499, Taiwan

[3] Niigata Univ, Dept Math, Niigata, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 230卷 / 02期

关键词：

minimax fractional problem; pseudo-convex; quasi-convex; duality;

D O I：

10.1006/jmaa.1998.6204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the necessary and sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems solving generalized convex functions. Subsequently, we apply the optimality conditions to formulate one parametric dual problem and we prove weak duality, strong duality, and strict converse duality theorems. (C) 1999 Academic Press.

引用

页码：311 / 328

页数：18

共 50 条

[1] On necessary conditions for a class of nondifferentiable minimax fractional programming
Luo, H. Z.
Wu, H. X.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 215 (01) : 103 - 113
[2] On Linear Programming Duality and Necessary and Sufficient Conditions in Minimax Theory
J. B. G. Frenk
P. Kas
G. Kassay
[J]. Journal of Optimization Theory and Applications, 2007, 132 : 423 - 439
[3] On linear programming duality and necessary and sufficient conditions in minimax theory
Frenk, J. B. G.
Kas, P.
Kassay, G.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 132 (03) : 423 - 439
[4] The Minimax Equality; Sufficient and Necessary Conditions
Anton Stefanescu
[J]. Acta Mathematica Sinica, English Series, 2007, 23 : 677 - 684
[5] The Minimax Equality;Sufficient and Necessary Conditions
Anton STEFANESCU
[J]. Acta Mathematica Sinica,English Series, 2007, 23 (04) : 677 - 684
[6] The minimax equality; Sufficient and necessary conditions
Stefanescu, Anton
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (04) : 677 - 684
[7] Minimax theorems for Φ-convex functions: sufficient and necessary conditions
Syga, Monika
[J]. OPTIMIZATION, 2016, 65 (03) : 635 - 649
[8] Necessary and Sufficient Conditions for Minimax Strategy in Quantum Signal Detection
Kato, Kentaro
[J]. 2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2012,
[9] Necessary and sufficient conditions for globally stable convex minimax theorems
Gwinner, J.
Jeyakumar, V.
Lee, G. M.
[J]. PACIFIC JOURNAL OF OPTIMIZATION, 2008, 4 (03): : 483 - 491
[10] NECESSARY AND SUFFICIENT CONDITIONS FOR THE UNIVERSALITY OF PROGRAMMING FORMALISMS
KFOURY, AJ
URZYCZYN, P
[J]. ACTA INFORMATICA, 1985, 22 (04) : 347 - 377

← 1 2 3 4 5 →