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COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS SATISFYING A GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE

The first important result on fixed points for contractive-type mapping was the well known Banach’s contraction principle appeared in explicit form in Banach’s thesis in 1922, where it was used to establish the existence of a solution for an integral equation [1]. This theorem provides a technique for solving a variety of applied problems in mathematical science and engineering. It widely considered as the source of metric fixed point theory and its significance lies in its vast applicability in a number of branches of mathematics. There are many generalizations of Banach’s contraction mapping principle in the literature [3, 6, 8]. In the general setting of complete metric space this theorem runs as follows: