Second-order composed contingent epiderivatives and set-valued vector equilibrium problems.

Qilin Wang; Zhi Lin; Jing Zeng; Zaiyun Peng; Xiaobing Li

In this paper, we introduce the concept of a second-order composed contingent epiderivative for set-valued maps and discuss some of its properties. Then, by virtue of the second-order composed contingent epiderivative, we establish second-order sufficient optimality conditions and necessary optimality conditions for the weakly efficient solution of set-valued vector equilibrium problems with unconstraints and set-valued vector equilibrium problems with constraints, respectively

DERIVATIVES (Mathematics); MATHEMATICAL mappings; VARIATIONAL inequalities (Mathematics); COMPLEMENTARITY constraints (Mathematics); VECTOR topology; VECTOR spaces; FRECHET spaces

Journal of Inequalities & Applications, 2014, Vol 2014, p1

1025-5834

Academic Journal

10.1186/1029-242X-2014-406