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arXiv · 2007.02001

Fixed point theorems and convergence theorems for a generalized nonexpansive mapping in uniformly convex Banach spaces

Chang Il Rim·Jong Gyong Kim
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Abstract

In this paper, we prove the existence of fixed points of mappings satisfying the condition (Da), a kind of generalized nonexpansive mappings, on a weakly compact convex subset in a Banach space satisfying Opial's condition. And we use Sahu([6]) and Thakur([10])'s iterative scheme to establish several convergence theorems in uniformly convex Banach spaces and give an example to show that this scheme converges faster than the scheme in [1]

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Chang Il Rim, Jong Gyong Kim. 2020-07-01. Fixed point theorems and convergence theorems for a generalized nonexpansive mapping in uniformly convex Banach spaces. https://arxiv.org/abs/2007.02001

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