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Vietnam Journal of Mathematics 40:2&3(2012) 331-343

 

Optimality Conditions and Duality for Nondifferentiable Multiobjective

Semi-infinite Programming

Shashi Kant Mishra and Monika Jaiswal

Department of Mathematics, Faculty of Science, Banaras Hindu University,

Varanasi, 221 005, India

Dedicated to Professor Phan Quoc Khanh on the occasion of his 65th birthday

Received November 6, 2011

Revised April 25, 2012

Abstract. This paper deals with a nondifferentiable multiobjective semi-infinite programming problem. We establish sufficient optimality conditions for the nondifferentiable multiobjective semi-infinite programming problem under generalized convexity assumptions. We formulate Mond-Weir type dual for the problem and establish weak, strong and strict converse duality theorems relating to the problem and dual problem using generalized invexity.

2000 Mathematics Subject Classification. 90C29, 90C34, 52A01, 90C46.

Keywords. Multiobjective programming, semi-infinite programming, generalized convexity, optimality, duality.

 

 

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