Existence of fixed points of mappings on general topological spaces

Abstract

The existence of xed points for continuous mappings on general topological spaces via compact subsets are proved. All our results presented here are new and are generalizations, extensions and improvements of the corresponding results due to ´Ciri´c, Jungck, Liu and many others . Further, certain results due to

´Ciri´c are improved and extended to topological spaces which are not necessarily Hausdor¤ and completely regular.