ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE NONSELF-MAPS

Feng Xian-zhi · Journal of Mathematics · 2009

The purpose of this paper is to investigate the iteration approximation problem of the fixed point for asymptotically nonexpansive nonself-maps,by using corresponding inequality of convexity modular in a uniformly convex Banach spaces and new analysis methods and introducing a new modified Ishkawa type iterative process,and new results on strong convergences of the iterative sequence of the fixed point for asymptotically nonexpansive nonself-maps in a real uniformly convex Banach space are obtained.These improve and extend som corresponding results in [2-5,9,10].

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