Journal of Mathematics and Statistics, April 1st, 2005
Abstract: In this work, we establish strong convergence of the improved modified three-step iteration methods for asymptotically nonexpansive operators in uniformly smooth and convex Banach spaces. Our results generalize the previous results of Schu [10], Osilike and Aniagbosor [5], Xu and Noor [13], as well as Owojori and Imoru [7] among others.
Key words: Asymptotically Nonexpansive Mappings; Uniformly Smooth Banach Spaces; Three-Step Iteration Methods
INTRODUCTION
An operator T:K [right arrow] K, where K is a nonempty subset of a Banach space, is called nonexpansive if for all x,y [mem...
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