Abstract

The purpose of this paper is to present a common fixed point theorem for generalized nonlinear contractive mappings in complete metric spaces by generalizing and extending some known results. As a consequence, a common fixed point theorem for a Banach operator pair is obtained.

Keywords: Common fixed point; $f$-weakly contractive maps; generalized $f$-weakly contractive maps; weakly compatible maps; Banach operator pair.

MSC: 47H10, 54H25

Pages:  29$-$34     

Volume  65 ,  Issue  1 ,  2013