Tran Van Su, A new optimality condition for weakly efficient solutions of convex vector equilibrium problems with constraints, Vol. 2017 (2017), Article ID 7, pp. 1-14

Full Text: PDF

DOI: 10.23952/jnfa.2017.7

 

Received July 1, 2016; Accepted November 29, 2016

 

Abstract. The main aim of this paper is to present a necessary and sufficient optimality condition for weakly efficient solution of a constrained convex vector equilibrium problem (which is denoted by CVEPC) by means of contingent epiderivatives. As an application, we also obtain a necessary and sufficient condition for weakly efficient solution of CVEPC in terms of contingent hypoderivatives.

 

How to Cite this Article:

Tran Van Su, A new optimality condition for weakly efficient solutions of convex vector equilibrium problems with constraints, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 7, pp. 1-14.