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

2015/06/09 by Ebrahim Soori, Soori, Ebrahim
Mathematics · #47H09 #47H10 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47H09 #msc:47H10

paper · pdf · doi:10.48550/arxiv.1506.02868

17 pages

arxiv created 2015/06/09 · arxiv updated 2015/06/10

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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