A GENERAL COMMON FIXED POINT THEOREM FOR WEAKLY COMMUTING PAIRS OF TYPE (KB)

Abstract

We prove a general coincidence and a common fixed point theorem for two pairs of hybrid mappings satisfying an implicit relation using the concept of weak commutativity of type (KB) which generalizes Theorem 2 of S. Sharma and D. Bhavana, Common fixed point theorem for hybrid pairs of mappings with some weak conditions, Fasc. Math. 39(2008), Theorem 3 of I. Kubiaczyk and D. Bhavana, Noncompatibility, Discontinuity in Consideration of Common Fixed Point of Set and Single Valued Maps, Southeast Asian Bull. Math. 32 (2008) and a theorem of M. A. Ahmed, Common fixed point theorems for set valued and single valued mappings, Demonstr. Math. 36(2)(2003).

Cuvinte cheie