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

Year 2016, Volume: 6 Issue: 1, 30 - 46, 01.06.2016

B. Deshpande A. Handa - Deepmala

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 coupledxed point.

Keywords

Keywords:Coupled xed point, coupled coincidence point, implicit relation, w-compatibility, weakly commuting mappings.

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