Common ¯xed point theorems for finite number of mappings without continuity and compatibility on uniformly convex Banach space

Abstract

The purpose of this paper is to prove some common ¯xed point theorems for finite number of discontinuous, noncompatible mappings on noncomplete uniformly convex Banach space.  Our results extend, generalize several known results of fixed point theory in different spaces.  We give an example and also give formulas for total number of commutativity conditions for finite number of mappings.