Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

<p dir="ltr">In this paper, we introduce the structure of <i>S</i><sub><em>p</em></sub> -metric spaces as a generalization of both S-metric and <i>S</i><sub><em>b</em></sub> -metric spaces. Also, we present the n...

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Main Author: Z. Mustafa (14153358) (author)
Other Authors: R. J. Shahkoohi (14153361) (author), V. Parvaneh (14153364) (author), Z. Kadelburg (14153367) (author), M. M. M. Jaradat (14153370) (author)
Published: 2019
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author Z. Mustafa (14153358)
author2 R. J. Shahkoohi (14153361)
V. Parvaneh (14153364)
Z. Kadelburg (14153367)
M. M. M. Jaradat (14153370)
author2_role author
author
author
author
author_facet Z. Mustafa (14153358)
R. J. Shahkoohi (14153361)
V. Parvaneh (14153364)
Z. Kadelburg (14153367)
M. M. M. Jaradat (14153370)
author_role author
dc.creator.none.fl_str_mv Z. Mustafa (14153358)
R. J. Shahkoohi (14153361)
V. Parvaneh (14153364)
Z. Kadelburg (14153367)
M. M. M. Jaradat (14153370)
dc.date.none.fl_str_mv 2019-11-01T21:00:00Z
dc.identifier.none.fl_str_mv 10.1186/s13663-019-0666-3
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/Ordered_S_p_-metric_spaces_and_some_fixed_point_theorems_for_contractive_mappings_with_application_to_periodic_boundary_value_problems/21598497
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Mathematical sciences
Applied mathematics
Fixed point
Complete metric space
Ordered b-metric space
dc.title.none.fl_str_mv Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p dir="ltr">In this paper, we introduce the structure of <i>S</i><sub><em>p</em></sub> -metric spaces as a generalization of both S-metric and <i>S</i><sub><em>b</em></sub> -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered <i>S</i><sub><em>p</em></sub> -metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. An application to periodic boundary value problems is presented.</p><h2>Other Information</h2><p dir="ltr">Published in: Fixed Point Theory and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1186/s13663-019-0666-3" target="_blank">http://dx.doi.org/10.1186/s13663-019-0666-3</a></p>
eu_rights_str_mv openAccess
id Manara2_1cf52446d506876a7d01122f7eaa853f
identifier_str_mv 10.1186/s13663-019-0666-3
network_acronym_str Manara2
network_name_str Manara2
oai_identifier_str oai:figshare.com:article/21598497
publishDate 2019
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rights_invalid_str_mv CC BY 4.0
spelling Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problemsZ. Mustafa (14153358)R. J. Shahkoohi (14153361)V. Parvaneh (14153364)Z. Kadelburg (14153367)M. M. M. Jaradat (14153370)Mathematical sciencesApplied mathematicsFixed pointComplete metric spaceOrdered b-metric space<p dir="ltr">In this paper, we introduce the structure of <i>S</i><sub><em>p</em></sub> -metric spaces as a generalization of both S-metric and <i>S</i><sub><em>b</em></sub> -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered <i>S</i><sub><em>p</em></sub> -metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. An application to periodic boundary value problems is presented.</p><h2>Other Information</h2><p dir="ltr">Published in: Fixed Point Theory and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1186/s13663-019-0666-3" target="_blank">http://dx.doi.org/10.1186/s13663-019-0666-3</a></p>2019-11-01T21:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1186/s13663-019-0666-3https://figshare.com/articles/journal_contribution/Ordered_S_p_-metric_spaces_and_some_fixed_point_theorems_for_contractive_mappings_with_application_to_periodic_boundary_value_problems/21598497CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/215984972019-11-01T21:00:00Z
spellingShingle Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
Z. Mustafa (14153358)
Mathematical sciences
Applied mathematics
Fixed point
Complete metric space
Ordered b-metric space
status_str publishedVersion
title Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
title_full Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
title_fullStr Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
title_full_unstemmed Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
title_short Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
title_sort Ordered <i>S</i><sub><em>p</em></sub><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
topic Mathematical sciences
Applied mathematics
Fixed point
Complete metric space
Ordered b-metric space