Strong Convergence Theorems of a Generalized Three-Step Iteration for a Nonexpansive Nonself-Mapping

Somchit Chotchaisthit, Weerayuth Nilsrakoo, Satit Saejung · 2008

The purpose of this paper is to establish several strong convergence theorems of a generalized three-step fixed point iteration with errors for a nonexpansive nonself-mapping in a uniformly convex Banach space. Our results not only significantly improve and extend the recent ones announced by Thianwan and Suantai [14], Shahzad [12], and many oth-ers, but also unify many known results for a nonexpansive self-mapping.

Read the paper · More papers on PaperTik