Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2004; 19(1): 179-196

Printed March 1, 2004

Copyright © The Korean Mathematical Society.

Multiobjective Variational Programming under Generalized Vector Variational Type I Invexity

Moon Hee Kim

Pukyong National University

Abstract

Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.

Keywords: efficient solutions, properly efficient solutions, vector variational type I invex problem, generalized vector variational type I invex problem, optimality, duality

MSC numbers: 90C29, 90C46