Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces

Chin-Tzong Pang and Eskandar Naraghirad

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We first introduce a new class of mappings called Bregman asymptotic pointwise nonexpansive mappings and investigate the existence and the approximation of fixed points of such mappings defined on a nonempty, bounded, closed, and convex subset C of a real Banach space E. Without using the original Opial property of a Banach space E, we prove weak convergence theorems for the sequences produced by generalized Mann and Ishikawa iteration processes for Bregman asymptotic pointwise nonexpansive mappings in a reflexive Banach space E. Our results are applicable in the function spaces Lp, where 1

Date: 2013
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https://doi.org/10.1155/2013/316813

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:316813

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