Email this article NECESSARY AND SUFFICIENT CONDITIONS FOR HENIG EFFICIENT SOLUTIONS OF VECTOR EQUILIBRIUM PROBLEMS USING DIRECTIONAL SUBDIFFERENTIALS
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Received: 18/03/19 Published: 18/03/19Authors
1. Dinh Dieu Hang
, Trường Đại học Công nghệ thông tin & Truyền thông - ĐH Thái Nguyên2. Tran Van Su, Quang Nam University
Abstract
In this article, we use the tool of directional subdifferentials with real functions for obtaining the necessary and sufficient optimality conditions of Henig efficient and supperefficient solutions for vector equilibrium problems with set and general inequality constraints in real Banach spaces. Making use of the generalized convexity of objective functions, necessary optimality conditions which using the directional subdifferentials are established. Under suitable assumptions, necessary optimality conditions will become sufficient optimality conditions.
Keywords
Vector equilibrium problem with constraints, necessary and sufficent optimality conditions, Henig efficient solutions, superefficent solutions, directional subdifferentials, cone-convex funtions.
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