A Suzuki-type multivalued contraction on weak partial metric spaces and applications

Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693–706, 2018), we introduce the concept of [Formula: see text] -type Suzuki multivalued contraction mappings. We establish a fixed point theorem for this type of mappings in the setting of complete weak partial metric spaces. We also...

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Autores principales: Aydi, Hassen, Barakat, M. A., Mitrović, Zoran D., Šešum-Čavić, Vesna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182438/
https://www.ncbi.nlm.nih.gov/pubmed/30363760
http://dx.doi.org/10.1186/s13660-018-1866-9
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author Aydi, Hassen
Barakat, M. A.
Mitrović, Zoran D.
Šešum-Čavić, Vesna
author_facet Aydi, Hassen
Barakat, M. A.
Mitrović, Zoran D.
Šešum-Čavić, Vesna
author_sort Aydi, Hassen
collection PubMed
description Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693–706, 2018), we introduce the concept of [Formula: see text] -type Suzuki multivalued contraction mappings. We establish a fixed point theorem for this type of mappings in the setting of complete weak partial metric spaces. We also present an illustrated example. Moreover, we provide applications to a homotopy result and to an integral inclusion of Fredholm type. Finally, we suggest open problems for the class of 0-complete weak partial metric spaces, which is more general than complete weak partial metric spaces.
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spelling pubmed-61824382018-10-22 A Suzuki-type multivalued contraction on weak partial metric spaces and applications Aydi, Hassen Barakat, M. A. Mitrović, Zoran D. Šešum-Čavić, Vesna J Inequal Appl Research Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693–706, 2018), we introduce the concept of [Formula: see text] -type Suzuki multivalued contraction mappings. We establish a fixed point theorem for this type of mappings in the setting of complete weak partial metric spaces. We also present an illustrated example. Moreover, we provide applications to a homotopy result and to an integral inclusion of Fredholm type. Finally, we suggest open problems for the class of 0-complete weak partial metric spaces, which is more general than complete weak partial metric spaces. Springer International Publishing 2018-10-05 2018 /pmc/articles/PMC6182438/ /pubmed/30363760 http://dx.doi.org/10.1186/s13660-018-1866-9 Text en © The Author(s) 2018 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
Aydi, Hassen
Barakat, M. A.
Mitrović, Zoran D.
Šešum-Čavić, Vesna
A Suzuki-type multivalued contraction on weak partial metric spaces and applications
title A Suzuki-type multivalued contraction on weak partial metric spaces and applications
title_full A Suzuki-type multivalued contraction on weak partial metric spaces and applications
title_fullStr A Suzuki-type multivalued contraction on weak partial metric spaces and applications
title_full_unstemmed A Suzuki-type multivalued contraction on weak partial metric spaces and applications
title_short A Suzuki-type multivalued contraction on weak partial metric spaces and applications
title_sort suzuki-type multivalued contraction on weak partial metric spaces and applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182438/
https://www.ncbi.nlm.nih.gov/pubmed/30363760
http://dx.doi.org/10.1186/s13660-018-1866-9
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