Abstract

The purpose of this paper is to give necessary and sufficient condition of modified three-step iteration scheme with errors to converge to common fixed points for a pair of quasi-nonexpansive and asymptotically quasi-nonexpansive mappings in Banach spaces. The results presented in this paper generalize, improve and unify the corresponding results in several papers.

Keywords: Quasi-nonexpansive mappings, asymptotically quasi nonexpansive mapping; common fixed points; modified three-step iteration scheme with errors with respect to a pair of mappings; strong convergence; Banach space.

MSC: 47H09, 47H10

Pages:  137$-$144     

Volume  62 ,  Issue  2 ,  2010