CONVERGENCE THEOREM FOR A GENERALIZED φ-WEAKLY CONTRACTIVE NONSELF MAPPING IN METRICALLY CONVEX METRIC SPACES

Abstract

A convergence theorem for a generalized φ-weakly contractive mapping 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 [18], Alber and Guerre-Delabriere [1], Khan and Imdad [14], Xue [20] and others. An illustrative example is also furnished in support of our main result.