A common fixed point theorem for weakly subsequentially continuous mappings satisfying implicit relation

Said Beloula,*

A common fixed point theorem for weakly subsequentially continuous mappings satisfying implicit relation

Authors :

Said Beloul^a,*

Author Address :

^aDepartment of Mathematics and Informatics, College of Sciences and Technology, University of El-Oued, P.O.Box789,El-Oued39000, Algeria.

*Corresponding author.

Abstract :

In this paper, we prove a common fixed point theorem for two weakly subsequentially continuous and compatible of type (E) for two pairs of self mappings, which satisfying implicit relation in metric spaces, an example is given to illustrate our results, also we give an application to solve a partial differential equations, and the study of its generalized Hyers-Ulam stability, our results improve and extend some previous results.

Keywords :

Common fixed point, weakly subsequentially continuous, compatible of type (E), implicit relation.

DOI :

Article Info :

Received : March 26, 2015; Accepted : August 23, 2015.