RECIPROCAL CONTINUITY AND COMMON FIXED POINTS OF NONSELF MAPPINGS

Abstract

We extend the notions of reciprocal continuity and $C_q$-commutativity to nonself setting besides observing equivalence between compatibility and $\phi$ -compatibility, and utilize the same to obtain some results on coincidence and common fixed points for two pairs of nonself mappings in metrically convex metric spaces. As an application of our main result, we also prove a common fixed point theorem in Banach spaces besides furnishing several illustrative examples.