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

Functional Analysis 2015-06-10 v1

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].

Keywords

Cite

@article{arxiv.1506.02868,
  title  = {Approximation of fixed points for a representation of nonexpansive mappings in Banach spaces},
  author = {Ebrahim Soori},
  journal= {arXiv preprint arXiv:1506.02868},
  year   = {2015}
}

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17 pages