Some further results on the stability of Ky Fan’s points

In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan’s points to th...

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Detalles Bibliográficos
Autores principales: Xiang, Shuwen, He, Jihao, Liu, Chengwei, Jia, Wensheng, Yang, Yanlong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5698473/
https://www.ncbi.nlm.nih.gov/pubmed/29213196
http://dx.doi.org/10.1186/s13660-017-1562-1
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author Xiang, Shuwen
He, Jihao
Liu, Chengwei
Jia, Wensheng
Yang, Yanlong
author_facet Xiang, Shuwen
He, Jihao
Liu, Chengwei
Jia, Wensheng
Yang, Yanlong
author_sort Xiang, Shuwen
collection PubMed
description In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan’s points to this perturbation is proved. As an application, the existence of the essential component of the Nash equilibrium is presented using the proposed method, and strong robustness to payoff function perturbation is achieved.
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spelling pubmed-56984732017-12-04 Some further results on the stability of Ky Fan’s points Xiang, Shuwen He, Jihao Liu, Chengwei Jia, Wensheng Yang, Yanlong J Inequal Appl Research In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan’s points to this perturbation is proved. As an application, the existence of the essential component of the Nash equilibrium is presented using the proposed method, and strong robustness to payoff function perturbation is achieved. Springer International Publishing 2017-11-21 2017 /pmc/articles/PMC5698473/ /pubmed/29213196 http://dx.doi.org/10.1186/s13660-017-1562-1 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
Xiang, Shuwen
He, Jihao
Liu, Chengwei
Jia, Wensheng
Yang, Yanlong
Some further results on the stability of Ky Fan’s points
title Some further results on the stability of Ky Fan’s points
title_full Some further results on the stability of Ky Fan’s points
title_fullStr Some further results on the stability of Ky Fan’s points
title_full_unstemmed Some further results on the stability of Ky Fan’s points
title_short Some further results on the stability of Ky Fan’s points
title_sort some further results on the stability of ky fan’s points
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5698473/
https://www.ncbi.nlm.nih.gov/pubmed/29213196
http://dx.doi.org/10.1186/s13660-017-1562-1
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