Generalized KKM theorems and common fixed point theorems |
| |
| Authors: | Lai-Jiu Lin Chih-Sheng ChuangZenn-Tsun Yu |
| |
| Institution: | a Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwanb Department of Electronic Engineering, Nan Kai University of Technology, Nantour 542, Taiwan |
| |
| Abstract: | In this paper, we first prove a generalized KKM theorem, and then use this generalized KKM theorem to establish the generalized equi-KKM theorem, common fixed point theorems for a family of multivalued maps, and the Kakutani-Fan-Glicksberg fixed point theorem. We also show that an existence theorem of the common fixed point theorem is equivalent to the Kakutani-Fan-Glicksberg fixed point theorem. |
| |
| Keywords: | Generalized KKM Generalized equi-KKM Common fixed point theorem |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
