The matching theorems and coincidence theorems for generalized R-KKM mapping in topological spaces

[摘要] In this paper we present some new matching theorems with open cover and closed cover by using the generalized R-KKM theorems [L. Deng, X. Xia, Generalized R-KKM theorem in topological space and their applications, J. Math. Anal. Appl. 285 (2003) 679-690] in the topological spaces with property (H). As applications, some coincidence theorems are established in topological spaces. Our results extend and generalize some known results. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2005-12-01

[关键词] generalized R-KKM mapping;transfer compactly closed and open valued mapping;matching theorem;coincidence theorem