ScienceAsia 32 (2006): 167-171 |doi: 10.2306/scienceasia1513-1874.2006.32.167

Weak and Strong Convergence Theorems of New Iterations with Errors for Nonexpansive Nonself-Mappings

Sornsak Thianwan^* and Suthep Suantai^**

 
ABSTRACT: In this paper, a new three-step iterative scheme for nonexpansive nonself-mappings in Banach spaces is defined, and weak and strong convergence theorems are established for the new iterative scheme in a uniformly convex Banach space.

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Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand.

*,** Corresponding author, E-mail: sornsakt@nu.ac.th* and scmti005@chiangmai.ac.th**

Received 10 Oct 2005 Accepted 30 Jan 2006