On some equilibrium problems for multimaps

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:129

Article; Proceedings Paper

Lin, LJ ; Yu, ZT

关键词: equilibrium problem;    generalized quasi-equilibrium problem;    variational inequality;    continuous selection;    acyclic multimap;    admissible set;    upper (lower) semicontinuous;    KKM property;   

DOI  :  10.1016/S0377-0427(00)00548-3

来源: Elsevier

【 摘 要 】

In this paper, we first establish the continuity property for multimaps and generalized Berge's theorem for multimaps. Then we apply these results, and the Fan-Browder fixed point theorem to establish the existence theorems of quasi-equilibrium problems and generalized quasi-equilibrium problems for multimaps. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free