Mohamed Akkouchi

A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak

Abstract:
In this paper, we prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak in 1998 and a result obtained by B. Fisher and S. Sessa in 1986.

Keywords:
Common fixed points in metric spaces, weakly commuting mappings, compatible mappings, compatible mappings of type (A), compatible mappings of type (B), weakly compatible mappings.

MSC 2000: 54H25, 47H10