Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives |
| |
Authors: | Tran Van Su |
| |
Institution: | 1. Department of Mathematics, Quangnam University, Tamky, Vietnamsuanalysis@gmail.com |
| |
Abstract: | In this article, we study some important properties of contingent epiderivatives concerning steady functions and a cone with a compact base along with its applications to establish necessary and sufficient optimality conditions for weakly efficient, Henig efficient, globally efficient and superefficient solutions for no constraints and constraints (it concludes cone constraint, equality constraint and a constraint set) vector equilibrium problems in terms of contingent epiderivatives. We also give some examples to illustrate obtained results. |
| |
Keywords: | contingent epiderivative efficient solutions optimality condition stable functions tangent cone vector equilibrium problems |
|
|