On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces

In this paper, we introduce and study iterative algorithms for solving split mixed equilibrium problems and fixed point problems of λ-hybrid multivalued mappings in real Hilbert spaces and prove that the proposed iterative algorithm converges weakly to a common solution of the considered problems. W...

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Detalles Bibliográficos
Autores principales: Onjai-uea, Nawitcha, Phuengrattana, Withun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487942/
https://www.ncbi.nlm.nih.gov/pubmed/28680240
http://dx.doi.org/10.1186/s13660-017-1416-x
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author Onjai-uea, Nawitcha
Phuengrattana, Withun
author_facet Onjai-uea, Nawitcha
Phuengrattana, Withun
author_sort Onjai-uea, Nawitcha
collection PubMed
description In this paper, we introduce and study iterative algorithms for solving split mixed equilibrium problems and fixed point problems of λ-hybrid multivalued mappings in real Hilbert spaces and prove that the proposed iterative algorithm converges weakly to a common solution of the considered problems. We also provide an example to illustrate the convergence behavior of the proposed iteration process.
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spelling pubmed-54879422017-07-03 On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces Onjai-uea, Nawitcha Phuengrattana, Withun J Inequal Appl Research In this paper, we introduce and study iterative algorithms for solving split mixed equilibrium problems and fixed point problems of λ-hybrid multivalued mappings in real Hilbert spaces and prove that the proposed iterative algorithm converges weakly to a common solution of the considered problems. We also provide an example to illustrate the convergence behavior of the proposed iteration process. Springer International Publishing 2017-06-15 2017 /pmc/articles/PMC5487942/ /pubmed/28680240 http://dx.doi.org/10.1186/s13660-017-1416-x Text en © The Author(s) 2017 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
Onjai-uea, Nawitcha
Phuengrattana, Withun
On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces
title On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces
title_full On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces
title_fullStr On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces
title_full_unstemmed On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces
title_short On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces
title_sort on solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in hilbert spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487942/
https://www.ncbi.nlm.nih.gov/pubmed/28680240
http://dx.doi.org/10.1186/s13660-017-1416-x
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AT phuengrattanawithun onsolvingsplitmixedequilibriumproblemsandfixedpointproblemsofhybridtypemultivaluedmappingsinhilbertspaces

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