A common fixed point theorem for four weakly compatible mappings in complete metric space using rational inequality

Abstract

The purpose of this paper is to present a common unique fixed-point theorem for four continuous mappings in complete metric space using weaker condition such as weakly compatible and associated sequence in place of compatible mappings and completeness of metric space. More over the condition of continuity of any one of mapping is being dropped. .Our result generalizes the results of Sharma, Badshah and Gupta [16], Fisher [4], Lohani and Badshah [13] and Singh and Chouhan [17].