FIXED POINT THEOREM FOR WEAKLY CONTRACTIVE MAPS IN METRICALLY CONVEX SPACES

Abstract

A fixed point theorem for weakly contractive mappings is proved which satisfy a generalized contraction condition on a complete metrically convex metric space. The result in this paper generalizes the relevant results due to Rhoades [13], Alber and Guerre-Delabriere [2] and others. An illustrative example is also furnished in support of our result