Email this article ON OPTIMALITY CONDITIONS FOR HENIG EFFICIENT SOLUTION AND SUPPEREFFICIENT SOLUTION OF CONSTRAINED VECTOR EQUILIBRUM PROBLEMS
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Published: 31/05/18Authors
1. Dinh Dieu Hang
, University of Information and Communication Technology, Thai Nguyen University2. Tran Van Su, Quang Nam University
Abstract
This article provides a necessary and sufficient optimality condition for Henig efficient solution and superefficient solution of vector equilibrium problems with constraints (it includes set and general inequality constraints) interms of directional derivatievs in infinite-dimensional spaces. We first proof the results on general converxity of cone-convex function over a convex set given. We provide an optimality for superefficient solution.
Keywords
vector equilibrium problem with constraints, necessary and sufficient optimality conditions, Henig efficient solutions, superefficient solutions, directional derivatives, cone-convex funtions
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