USING IMPLICIT RELATION TO PROVE COMMON COUPLED FIXED POINT THEOREMS FOR TWO HYBRID PAIRS OF MAPPINGS

Abstract

Using implicit relation we establish two common coupled fixed point theorems under the conditions of weakly commutativity and w-compatibility on a completemetric space, which is not partially ordered. We do not use the condition of continuityof any mapping for proving the existence of coupled coincidence and common coupledfixed point.