On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets

The purpose of this paper is to the best proximity point theorems for the proximal nonexpansive mapping on the starshaped sets by using a clever and simple method. The results improve and extend the recent results of Chen et al. (Fixed Point Theory Appl 2015:19, 2015). It should be noted that, the c...

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Detalles Bibliográficos
Autores principales: Guo, Meifang, Li, Xia, Su, Yongfu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4792829/
https://www.ncbi.nlm.nih.gov/pubmed/27066357
http://dx.doi.org/10.1186/s40064-016-1976-0
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author Guo, Meifang
Li, Xia
Su, Yongfu
author_facet Guo, Meifang
Li, Xia
Su, Yongfu
author_sort Guo, Meifang
collection PubMed
description The purpose of this paper is to the best proximity point theorems for the proximal nonexpansive mapping on the starshaped sets by using a clever and simple method. The results improve and extend the recent results of Chen et al. (Fixed Point Theory Appl 2015:19, 2015). It should be noted that, the complex method is used by Jianren Chen et al. can be replaced by the clever and simple method presented in this paper.
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spelling pubmed-47928292016-04-09 On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets Guo, Meifang Li, Xia Su, Yongfu Springerplus Review The purpose of this paper is to the best proximity point theorems for the proximal nonexpansive mapping on the starshaped sets by using a clever and simple method. The results improve and extend the recent results of Chen et al. (Fixed Point Theory Appl 2015:19, 2015). It should be noted that, the complex method is used by Jianren Chen et al. can be replaced by the clever and simple method presented in this paper. Springer International Publishing 2016-03-15 /pmc/articles/PMC4792829/ /pubmed/27066357 http://dx.doi.org/10.1186/s40064-016-1976-0 Text en © Guo et al. 2016 Open AccessThis 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 Review
Guo, Meifang
Li, Xia
Su, Yongfu
On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
title On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
title_full On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
title_fullStr On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
title_full_unstemmed On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
title_short On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
title_sort on the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4792829/
https://www.ncbi.nlm.nih.gov/pubmed/27066357
http://dx.doi.org/10.1186/s40064-016-1976-0
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