bregman asymptotic pointwise nonexpansive mappings in banach spaces

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ID: 247084
2013
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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
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pang2013abstractbregman Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Chin-Tzong Pang;Eskandar Naraghirad
Journal science and technology of advanced materials
Year 2013
DOI
10.1155/2013/316813
URL
http://dx.doi.org/10.1155/2013/316813
Keywords
mathematics

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