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 xed point theo-rems 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 coupledxed point.