A GENERALIZED FIXED POINT THEOREM FOR OCCASSIONALLY WEAKLY COMPATIBLE MAPPINGS

R. K. Verma*

Abstract


Zhang (X. Zhang, Common fixed point theorems for some new generalized contractive type mappings, J. Math. Anal. Appl. 333 (2) (2007) 780-786) introduced a new generalized contractive type conditions for a pair of mappings in a complete metric space, in which the integral operator was replaced by a monotone non-decreasing function F. In this paper, we prove a common fixed point theorem for a generalized contractive type condition for a quadruple of (owc) mappings under relaxed conditions.

Keywords


Common fixed points, compatible mappings, generalized contractive condition, weakly compatible mappings, occasionally weakly compatible (owc) mappings.

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