On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints |
| |
| Authors: | Do Van Luu Dinh Dieu Hang |
| |
| Institution: | 1. Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnamdvluu@math.ac.vn;3. Department of Basic Sciences, University of Information and Communication Technology, Thai Nguyen, Vietnam |
| |
| Abstract: | In this article, necessary conditions of Fritz John type for weak efficient solutions of a nonsmooth vector equilibrium problem involving equilibrium constraints (VEPEC) in terms of the Clarke subdifferentials are established. Under constraint qualifications which are suitable for (VEPEC), necessary conditions of Kuhn-Tucker type for efficiency are derived. Under assumptions on generalized convexity of data, sufficient conditions for efficiency are developed. Some applications to vector variational inequalities and vector optimization problems with equilibrium constraints are also given. |
| |
| Keywords: | Clarke subdifferentials Constraint qualifications for equilibrium problems with equilibrium constraints Equilibrium constraints Generalized convexity Vector equilibrium problem Vector variational inequalities |
|
|
