ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

FIXED POINT THEOREM FOR COMMUTING MAPPING

Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.7, No. 3)

Publication Date:

Authors : ; ;

Page : 196-199

Keywords : ;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

It can be observed that completeness of a metric space is not enough to ensure the existence of fixed point for contractive mappings. So, fixed point theorems for such mappings require further restriction on the space or extra conditions have to be imposed on mappings or some restrictions imposed on its range. Edelstein had shown that compactness of the metric space (X,d) guarantees a unique fixed point for a contractive mapping on X . In this paper,the commutative maps are used as a tool for generalizing some of the results.

Last modified: 2018-03-17 19:47:28