A Focus on a Common Fixed Point Theorem using Weakly Compatible Mappings

Abstract

The purpose  of this paper is to present a common fixed point theorem in a metric space which generalizes the result of Bijendra Singh and M.S.Chauhan using the weaker conditions such as Weakly compatible mappings and Associated sequence in place of compatibility and completeness of the  metric space.  More over the condition of continuity of any one of the mapping is being dropped.

Keywords: Fixed point, Self maps, , compatible mappings, weakly compatible mappings , associated sequence.