COMMON FIXED POINTS OF A NEW THREE-STEP ITERATION WITH ERRORS FOR QUASI-NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES

Utith Inprasit (Thailand) and Hathaikarn Wattanataweekul (Thailand)

Received January 6, 2009

Abstract

In this paper, we study a new three-step iterative scheme with errors for approximating common fixed point of three quasi-nonexpansive non-self mappings and prove several strong and weak convergence results for the iterative sequences with errors in a uniformly convex Banach space. Our results extend and improve some recent corresponding results in the literature.

Keywords and phrases: non-self mappings, quasi-nonexpansive mapping, iteration with errors, common fixed point, uniformly convex Banach spaces, strong and weak convergence.