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OALib Journal期刊
ISSN: 2333-9721
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Fixed point for asymptotically pointwise nonexpansive mapping in Banach space which has Frechet differential norm

Keywords: fixed point , asymptotic pointwise nonexpensive mapping , fixed point iteration process uniformly convex Banach space , Frechet differentiable

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Abstract:

Let X be a uniformly convex Banach space which has Frechet differentiablenorm, T : C → C an asymptotically pointwise nonexpensivemapping where C is bounded, closed and convex subset of X.In this paper, we prove that generalized Mann process converge weaklyto fixed point of T.

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