Optimality conditions and duality for minimax fractional programming involving nonsmooth generalized univexity

Xian-Jun Long; Jing Quan

doi:10.3934/naco.2011.1.361

Article Contents

2011, Volume 1, Issue 3: 361-370. Doi: 10.3934/naco.2011.1.361

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Optimality conditions and duality for minimax fractional programming involving nonsmooth generalized univexity

Xian-Jun Long^1, and
Jing Quan^2,

1.
College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067
2.
Department of Mathematics, Yibin University, Yibin, Sichuan 644007

Received: April 2011

Revised: June 2011

Published: September 2011

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Abstract

Using a parametric approach, we establish necessary and sufficient optimality conditions and derive some duality theorems for a class of nonsmooth minmax fractional programming problems containing generalized univex functions. The results obtained in this paper extend and improve some corresponding results in the literature.

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Mathematics Subject Classification: Primary: 90C32, 49J35.

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