PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications
<div><p>The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f ( x ) = x . One of such examples is that of the famous Borsuk–Ulam theorem, in which using some fixed point argument, it can be guaranteed that at any given tim...
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| مؤلفون آخرون: | , , , |
| منشور في: |
2019
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| _version_ | 1864513525913747456 |
|---|---|
| author | Mohammed M. M. Jaradat (16888797) |
| author2 | Babak Mohammadi (96111) Vahid Parvaneh (18090871) Hassen Aydi (14550513) Zead Mustafa (14550514) |
| author2_role | author author author author |
| author_facet | Mohammed M. M. Jaradat (16888797) Babak Mohammadi (96111) Vahid Parvaneh (18090871) Hassen Aydi (14550513) Zead Mustafa (14550514) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohammed M. M. Jaradat (16888797) Babak Mohammadi (96111) Vahid Parvaneh (18090871) Hassen Aydi (14550513) Zead Mustafa (14550514) |
| dc.date.none.fl_str_mv | 2019-11-06T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/sym11111375 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/PPF-Dependent_Fixed_Point_Results_for_Multi-Valued_-F-Contractions_in_Banach_Spaces_and_Applications/25331227 |
| 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 Mathematical physics Physical sciences Astronomical sciences PPF-dependent fixed point ϕ-F-contractions the Razumikhin class Banach space |
| dc.title.none.fl_str_mv | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <div><p>The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f ( x ) = x . One of such examples is that of the famous Borsuk–Ulam theorem, in which using some fixed point argument, it can be guaranteed that at any given time we can find two diametrically opposite places in a planet with same temperature. Thus, the correlation of symmetry is inherent in the study of fixed point theory. In this paper, we initiate ϕ − F -contractions and study the existence of PPF-dependent fixed points (fixed points for mappings having variant domains and ranges) for these related mappings in the Razumikhin class. Our theorems extend and improve the results of Hammad and De La Sen [Mathematics, 2019, 7, 52]. As applications of our PPF dependent fixed point results, we study the existence of solutions for delay differential equations (DDEs) which have numerous applications in population dynamics, bioscience problems and control engineering.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Symmetry<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="https://dx.doi.org/10.3390/sym11111375" target="_blank">https://dx.doi.org/10.3390/sym11111375</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_d68ef809d3ad541a81a0d85567e922ed |
| identifier_str_mv | 10.3390/sym11111375 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25331227 |
| publishDate | 2019 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and ApplicationsMohammed M. M. Jaradat (16888797)Babak Mohammadi (96111)Vahid Parvaneh (18090871)Hassen Aydi (14550513)Zead Mustafa (14550514)Mathematical sciencesApplied mathematicsMathematical physicsPhysical sciencesAstronomical sciencesPPF-dependent fixed pointϕ-F-contractionsthe Razumikhin classBanach space<div><p>The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f ( x ) = x . One of such examples is that of the famous Borsuk–Ulam theorem, in which using some fixed point argument, it can be guaranteed that at any given time we can find two diametrically opposite places in a planet with same temperature. Thus, the correlation of symmetry is inherent in the study of fixed point theory. In this paper, we initiate ϕ − F -contractions and study the existence of PPF-dependent fixed points (fixed points for mappings having variant domains and ranges) for these related mappings in the Razumikhin class. Our theorems extend and improve the results of Hammad and De La Sen [Mathematics, 2019, 7, 52]. As applications of our PPF dependent fixed point results, we study the existence of solutions for delay differential equations (DDEs) which have numerous applications in population dynamics, bioscience problems and control engineering.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Symmetry<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="https://dx.doi.org/10.3390/sym11111375" target="_blank">https://dx.doi.org/10.3390/sym11111375</a></p>2019-11-06T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/sym11111375https://figshare.com/articles/journal_contribution/PPF-Dependent_Fixed_Point_Results_for_Multi-Valued_-F-Contractions_in_Banach_Spaces_and_Applications/25331227CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/253312272019-11-06T03:00:00Z |
| spellingShingle | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications Mohammed M. M. Jaradat (16888797) Mathematical sciences Applied mathematics Mathematical physics Physical sciences Astronomical sciences PPF-dependent fixed point ϕ-F-contractions the Razumikhin class Banach space |
| status_str | publishedVersion |
| title | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| title_full | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| title_fullStr | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| title_full_unstemmed | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| title_short | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| title_sort | PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications |
| topic | Mathematical sciences Applied mathematics Mathematical physics Physical sciences Astronomical sciences PPF-dependent fixed point ϕ-F-contractions the Razumikhin class Banach space |