A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces

The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard spaces. Under suitable conditions, some strong co...

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Detalles Bibliográficos
Autores principales: Chang, Shih-sen, Yao, Jen-Chih, Wen, Ching-Feng, Wang, Lin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154173/
https://www.ncbi.nlm.nih.gov/pubmed/30839707
http://dx.doi.org/10.1186/s13660-018-1825-5
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author Chang, Shih-sen
Yao, Jen-Chih
Wen, Ching-Feng
Wang, Lin
author_facet Chang, Shih-sen
Yao, Jen-Chih
Wen, Ching-Feng
Wang, Lin
author_sort Chang, Shih-sen
collection PubMed
description The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard spaces. Under suitable conditions, some strong convergence theorems of the proposed algorithms to such a common solution are proved. Our results extend and complement some recent results in this direction.
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spelling pubmed-61541732018-10-10 A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces Chang, Shih-sen Yao, Jen-Chih Wen, Ching-Feng Wang, Lin J Inequal Appl Research The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard spaces. Under suitable conditions, some strong convergence theorems of the proposed algorithms to such a common solution are proved. Our results extend and complement some recent results in this direction. Springer International Publishing 2018-09-12 2018 /pmc/articles/PMC6154173/ /pubmed/30839707 http://dx.doi.org/10.1186/s13660-018-1825-5 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
Chang, Shih-sen
Yao, Jen-Chih
Wen, Ching-Feng
Wang, Lin
A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
title A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
title_full A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
title_fullStr A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
title_full_unstemmed A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
title_short A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
title_sort modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in hadamard spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154173/
https://www.ncbi.nlm.nih.gov/pubmed/30839707
http://dx.doi.org/10.1186/s13660-018-1825-5
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