An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework

An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework

A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of (A,η)-accretive is developed. Convergence analysis for the algorithm of solving a nonlinear set-valued inclusions problem and existence analysis of solution for the nonlinear set-valued inclu...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Hong Gang Li, An Jian Xu, Mao Ming Jin
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2010
Materias:
Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
Acceso en línea:https://doaj.org/article/491905e86d55464db596f38987165953
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:491905e86d55464db596f38987165953
record_format dspace
spelling oai:doaj.org-article:491905e86d55464db596f389871659532021-12-02T11:30:42ZAn Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework10.1155/2010/5012931687-18201687-1812https://doaj.org/article/491905e86d55464db596f389871659532010-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2010/501293https://doaj.org/toc/1687-1820https://doaj.org/toc/1687-1812A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of (A,η)-accretive is developed. Convergence analysis for the algorithm of solving a nonlinear set-valued inclusions problem and existence analysis of solution for the nonlinear set-valued inclusions problem are explored along with some results on the resolvent operator corresponding to (A,η)-accretive mapping due to Lan-Cho-Verma in Banach space. The result that sequence {xn} generated by the algorithm converges linearly to a solution of the nonlinear set-valued inclusions problem with the convergence rate θ is proved. Hong Gang LiAn Jian XuMao Ming JinSpringerOpenarticleApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2010 (2010)
institution DOAJ
collection DOAJ
language EN
topic Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
spellingShingle Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
Hong Gang Li
An Jian Xu
Mao Ming Jin
An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
description A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of (A,η)-accretive is developed. Convergence analysis for the algorithm of solving a nonlinear set-valued inclusions problem and existence analysis of solution for the nonlinear set-valued inclusions problem are explored along with some results on the resolvent operator corresponding to (A,η)-accretive mapping due to Lan-Cho-Verma in Banach space. The result that sequence {xn} generated by the algorithm converges linearly to a solution of the nonlinear set-valued inclusions problem with the convergence rate θ is proved.
format article
author Hong Gang Li
An Jian Xu
Mao Ming Jin
author_facet Hong Gang Li
An Jian Xu
Mao Ming Jin
author_sort Hong Gang Li
title An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
title_short An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
title_full An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
title_fullStr An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
title_full_unstemmed An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework
title_sort ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on (a,η)-accretive framework
publisher SpringerOpen
publishDate 2010
url https://doaj.org/article/491905e86d55464db596f38987165953
work_keys_str_mv AT honggangli anishikawahybridproximalpointalgorithmfornonlinearsetvaluedinclusionsproblembasedonax03b7accretiveframework
AT anjianxu anishikawahybridproximalpointalgorithmfornonlinearsetvaluedinclusionsproblembasedonax03b7accretiveframework
AT maomingjin anishikawahybridproximalpointalgorithmfornonlinearsetvaluedinclusionsproblembasedonax03b7accretiveframework
AT honggangli ishikawahybridproximalpointalgorithmfornonlinearsetvaluedinclusionsproblembasedonax03b7accretiveframework
AT anjianxu ishikawahybridproximalpointalgorithmfornonlinearsetvaluedinclusionsproblembasedonax03b7accretiveframework
AT maomingjin ishikawahybridproximalpointalgorithmfornonlinearsetvaluedinclusionsproblembasedonax03b7accretiveframework
_version_ 1718395875557900288

Ejemplares similares