The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space

In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong convergence theorems of proposed algorithm under some mild assumption on control conditions. W...

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Detalles Bibliográficos
Autores principales: Khuangsatung, Wongvisarut, Sunthrayuth, Pongsakorn
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061674/
https://www.ncbi.nlm.nih.gov/pubmed/30137895
http://dx.doi.org/10.1186/s13660-018-1760-5
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author Khuangsatung, Wongvisarut
Sunthrayuth, Pongsakorn
author_facet Khuangsatung, Wongvisarut
Sunthrayuth, Pongsakorn
author_sort Khuangsatung, Wongvisarut
collection PubMed
description In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong convergence theorems of proposed algorithm under some mild assumption on control conditions. We apply our results to the common fixed point problem of convex combination of family of mappings and zeros of accretive operator in Banach spaces. Furthermore, we also give some numerical examples to support our main results.
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spelling pubmed-60616742018-08-09 The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space Khuangsatung, Wongvisarut Sunthrayuth, Pongsakorn J Inequal Appl Research In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong convergence theorems of proposed algorithm under some mild assumption on control conditions. We apply our results to the common fixed point problem of convex combination of family of mappings and zeros of accretive operator in Banach spaces. Furthermore, we also give some numerical examples to support our main results. Springer International Publishing 2018-07-11 2018 /pmc/articles/PMC6061674/ /pubmed/30137895 http://dx.doi.org/10.1186/s13660-018-1760-5 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Khuangsatung, Wongvisarut
Sunthrayuth, Pongsakorn
The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space
title The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space
title_full The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space
title_fullStr The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space
title_full_unstemmed The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space
title_short The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space
title_sort generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth banach space
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061674/
https://www.ncbi.nlm.nih.gov/pubmed/30137895
http://dx.doi.org/10.1186/s13660-018-1760-5
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