|
|||||
|
|
Generalized R-KKM theorems in topological space and their applications |
|
| Authors: | Lei Deng Xia Xia |
| Institution: | Department of Mathematics, Southwest China Normal University, Chongqing 400715, PR China |
| Abstract: | In this paper, we introduce generalized R-KKM mapping and discuss some new generalized R-KKM theorem under the nonconvexity setting of topological space. As applications, some new minimax inequalities, saddle point theorem are proved in topological space. Our theorems unified and extend many known results in recent literature. |
| Keywords: | Generalized R-KKM mapping λ-generalized R-diagonally quasiconvex λ-generalized R-diagonally quasiconcave λ-transfer compactly lower semicontinuous λ-transfer compactly upper semicontinuous |
| 本文献已被 ScienceDirect 等数据库收录！ | |