GENERALIZED R-WEAKLY COMMUTING MAPPINGS IN NON- ARCHIMEDEAN MENGER SPACE

Abstract

We have initiated the concept of generalized R- weakly commuting mappings in non- Archimedean probabilistic metric space for the first time. In fact Sessa initiated weakly commuting mappings in a metric space, Singh and Pant defined the same idea in more general setting of probabilistic metric space. Common fixed point theorems have been obtained by using the concept of generalized R- weakly commuting mappings in non- Archimedean Menger probabilistic metric space in the present paper.