Multiobjective Variational Programming under Generalized Vector Variational Type I Invexity
Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 179-196 Printed March 1, 2004
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