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arXiv · 1506.02868

Approximation of fixed points for a representation of nonexpansive mappings in Banach spaces

Ebrahim Soori
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Abstract

The purpose of this paper is to study an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth and uniformly convex Banach space with respect to a left regular sequence of means defined on an appropriate space of bounded real valued functions of the semigroup. This algorithm extends the algorithm that introduced in [N. Hussain, M. L. Bami and E. Soori, An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces, Fixed Point Theory and Applications 2014, 2014:238].

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Ebrahim Soori. 2015-06-09. Approximation of fixed points for a representation of nonexpansive mappings in Banach spaces. https://arxiv.org/abs/1506.02868

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