• FIXED POINT THEOREM IN MENGER SPACE

Abstract

In this paper, we have accomplished the task of generalizing the fixed point theorems due to Som [3], Taskovic [4] Mukherjee [1] in the context of semi-compatibility and weak compatibility in Menger space and also it has been applied to prove common fixed point theorems for three, four and sequence of mappings. A coincidence point theorem is also established for a multi-valued mapping satisfying a generalized condition of Hausdorff distance function in (T, f, x)-orbitally complete Menger space. This theorem is generalized result of Tiwari and Shrivastava [5] and Singh [2].