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Vietnam Journal of Mathematics 40:2&3(2012)
331-343
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Optimality Conditions and Duality for
Nondifferentiable Multiobjective
Semi-infinite Programming
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Shashi Kant Mishra and Monika Jaiswal
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Department of Mathematics, Faculty of Science,
Banaras Hindu University,
Varanasi,
221 005, India
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Dedicated to Professor
Phan Quoc Khanh on the occasion of his 65th birthday
Received November 6,
2011
Revised April 25, 2012
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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.
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2000 Mathematics
Subject Classification. 90C29, 90C34, 52A01, 90C46.
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Keywords. Multiobjective
programming, semi-infinite programming, generalized convexity, optimality,
duality.
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Established
by Vietnam Academy of Science and Technology &
Vietnam Mathematical Society
Published by
Springer since January 2013
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