Abstract

We prove the existence of common coincidence point and common fixed point for the self mappings satisfying a generalized weak contractive condition. Consequently it is shown that sequence of Mann type iterations associated with two self-mappings on convex metric space converges to their common fixed point.

Keywords: Common fixed point; coincidence point; weakly contractive mappings; convex metric space.

MSC: 47H10, 54H25

Pages:  101$-$106     

Volume  60 ,  Issue  2 ,  2008