• FIXED POINT THEOREM FOR GENERALIZED R - WEAKLY COMMUTING MAPPING

Abstract

A number of authors have defined various contractive type self-mapping of metric spaces which are generalizations of well-known Banach contraction principle and have used the same technique. The contractive condition on maps produce suitable iterations, which give Cauchy sequence and a hypothesis of completeness in the range containing these sequences. The concept of generalized R- weakly commuting mappings has been used in probabilistic metric space. Using this we have obtained a number of fixed point theorems in the light of some new contractive conditions.