Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems

In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results...

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Detalles Bibliográficos
Autores principales: Chamnarnpan, Tanom, Wairojjana, Nopparat, Kumam, Poom
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2013
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3824709/
https://www.ncbi.nlm.nih.gov/pubmed/24255840
http://dx.doi.org/10.1186/2193-1801-2-540
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author Chamnarnpan, Tanom
Wairojjana, Nopparat
Kumam, Poom
author_facet Chamnarnpan, Tanom
Wairojjana, Nopparat
Kumam, Poom
author_sort Chamnarnpan, Tanom
collection PubMed
description In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697–1705, 2010], Gu et al. [J. Appl. Math. 2011:17 p., 2011] and some authors.
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spelling pubmed-38247092013-11-19 Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems Chamnarnpan, Tanom Wairojjana, Nopparat Kumam, Poom Springerplus Research In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697–1705, 2010], Gu et al. [J. Appl. Math. 2011:17 p., 2011] and some authors. Springer International Publishing 2013-10-17 /pmc/articles/PMC3824709/ /pubmed/24255840 http://dx.doi.org/10.1186/2193-1801-2-540 Text en © Chamnarnpan et al.; licensee Springer. 2013 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research
Chamnarnpan, Tanom
Wairojjana, Nopparat
Kumam, Poom
Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
title Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
title_full Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
title_fullStr Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
title_full_unstemmed Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
title_short Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
title_sort hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3824709/
https://www.ncbi.nlm.nih.gov/pubmed/24255840
http://dx.doi.org/10.1186/2193-1801-2-540
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