[Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations

In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a [Formula: see text] -contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear...

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Detalles Bibliográficos
Autores principales: Nikbakhtsarvestani, Farzaneh, Vaezpour, S Mansour, Asadi, Mehdi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5662740/
https://www.ncbi.nlm.nih.gov/pubmed/29151705
http://dx.doi.org/10.1186/s13660-017-1545-2
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author Nikbakhtsarvestani, Farzaneh
Vaezpour, S Mansour
Asadi, Mehdi
author_facet Nikbakhtsarvestani, Farzaneh
Vaezpour, S Mansour
Asadi, Mehdi
author_sort Nikbakhtsarvestani, Farzaneh
collection PubMed
description In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a [Formula: see text] -contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well.
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spelling pubmed-56627402017-11-15 [Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations Nikbakhtsarvestani, Farzaneh Vaezpour, S Mansour Asadi, Mehdi J Inequal Appl Research In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a [Formula: see text] -contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well. Springer International Publishing 2017-10-30 2017 /pmc/articles/PMC5662740/ /pubmed/29151705 http://dx.doi.org/10.1186/s13660-017-1545-2 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
Nikbakhtsarvestani, Farzaneh
Vaezpour, S Mansour
Asadi, Mehdi
[Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations
title [Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations
title_full [Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations
title_fullStr [Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations
title_full_unstemmed [Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations
title_short [Formula: see text] -Contraction in terms of measure of noncompactness with application for nonlinear integral equations
title_sort [formula: see text] -contraction in terms of measure of noncompactness with application for nonlinear integral equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5662740/
https://www.ncbi.nlm.nih.gov/pubmed/29151705
http://dx.doi.org/10.1186/s13660-017-1545-2
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