A generalization of Ekeland’s variational principle by using the τ-distance with its applications

In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated. Moreover, by using it, two versions of existence results of a solution for the equilibrium problem in the setting of comple...

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Detalles Bibliográficos
Autores principales: Farajzadeh, AP, Plubtieng, S, Hoseinpour, A
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5544817/
https://www.ncbi.nlm.nih.gov/pubmed/28824267
http://dx.doi.org/10.1186/s13660-017-1435-7
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author Farajzadeh, AP
Plubtieng, S
Hoseinpour, A
author_facet Farajzadeh, AP
Plubtieng, S
Hoseinpour, A
author_sort Farajzadeh, AP
collection PubMed
description In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated. Moreover, by using it, two versions of existence results of a solution for the equilibrium problem in the setting of complete metric spaces are investigated. Finally some examples in order to illustrate the results of this note are given.
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spelling pubmed-55448172017-08-18 A generalization of Ekeland’s variational principle by using the τ-distance with its applications Farajzadeh, AP Plubtieng, S Hoseinpour, A J Inequal Appl Research In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated. Moreover, by using it, two versions of existence results of a solution for the equilibrium problem in the setting of complete metric spaces are investigated. Finally some examples in order to illustrate the results of this note are given. Springer International Publishing 2017-07-31 2017 /pmc/articles/PMC5544817/ /pubmed/28824267 http://dx.doi.org/10.1186/s13660-017-1435-7 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
Farajzadeh, AP
Plubtieng, S
Hoseinpour, A
A generalization of Ekeland’s variational principle by using the τ-distance with its applications
title A generalization of Ekeland’s variational principle by using the τ-distance with its applications
title_full A generalization of Ekeland’s variational principle by using the τ-distance with its applications
title_fullStr A generalization of Ekeland’s variational principle by using the τ-distance with its applications
title_full_unstemmed A generalization of Ekeland’s variational principle by using the τ-distance with its applications
title_short A generalization of Ekeland’s variational principle by using the τ-distance with its applications
title_sort generalization of ekeland’s variational principle by using the τ-distance with its applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5544817/
https://www.ncbi.nlm.nih.gov/pubmed/28824267
http://dx.doi.org/10.1186/s13660-017-1435-7
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