Mohamed Akkouchi

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

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.

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