New Fixed Point Results for Modified Contractions and Applications
In this study, we introduce a new type of contractive mapping to establish the existence and uniqueness of fixed points for this type of contraction. Some related examples are built demonstrating the superiority of our results compared to the existing onesin the literature. As applications of the re...
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Format: | Article |
Language: | English |
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MDPI AG
2019-05-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/11/5/660 |
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author | Hüseyİn Işık Hassen Aydi Mohd Salmi Md Noorani Haitham Qawaqneh |
author_facet | Hüseyİn Işık Hassen Aydi Mohd Salmi Md Noorani Haitham Qawaqneh |
author_sort | Hüseyİn Işık |
collection | DOAJ |
description | In this study, we introduce a new type of contractive mapping to establish the existence and uniqueness of fixed points for this type of contraction. Some related examples are built demonstrating the superiority of our results compared to the existing onesin the literature. As applications of the results obtained, some new fixed point theorems are presented for graph-type contractions. Furthermore, sufficient conditions are discussed to ensure the existence underlying various approaches of a solution for a functional equation originating in dynamic programming. |
first_indexed | 2024-04-11T21:57:17Z |
format | Article |
id | doaj.art-07bd79eaa7fb499aa115660d3ca7326c |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-04-11T21:57:17Z |
publishDate | 2019-05-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
spelling | doaj.art-07bd79eaa7fb499aa115660d3ca7326c2022-12-22T04:01:03ZengMDPI AGSymmetry2073-89942019-05-0111566010.3390/sym11050660sym11050660New Fixed Point Results for Modified Contractions and ApplicationsHüseyİn Işık0Hassen Aydi1Mohd Salmi Md Noorani2Haitham Qawaqneh3Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, Muş 49100, TurkeyDepartment of Mathematics, College of Education of Jubail, Imam Abdulrahman Bin Faisal University, P.O. 12020, Industrial Jubail 31961, Saudi ArabiaSchool of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, MalaysiaSchool of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, MalaysiaIn this study, we introduce a new type of contractive mapping to establish the existence and uniqueness of fixed points for this type of contraction. Some related examples are built demonstrating the superiority of our results compared to the existing onesin the literature. As applications of the results obtained, some new fixed point theorems are presented for graph-type contractions. Furthermore, sufficient conditions are discussed to ensure the existence underlying various approaches of a solution for a functional equation originating in dynamic programming.https://www.mdpi.com/2073-8994/11/5/660admissible mappingα-ψ-contractiongraphfunctional equation |
spellingShingle | Hüseyİn Işık Hassen Aydi Mohd Salmi Md Noorani Haitham Qawaqneh New Fixed Point Results for Modified Contractions and Applications Symmetry admissible mapping α-ψ-contraction graph functional equation |
title | New Fixed Point Results for Modified Contractions and Applications |
title_full | New Fixed Point Results for Modified Contractions and Applications |
title_fullStr | New Fixed Point Results for Modified Contractions and Applications |
title_full_unstemmed | New Fixed Point Results for Modified Contractions and Applications |
title_short | New Fixed Point Results for Modified Contractions and Applications |
title_sort | new fixed point results for modified contractions and applications |
topic | admissible mapping α-ψ-contraction graph functional equation |
url | https://www.mdpi.com/2073-8994/11/5/660 |
work_keys_str_mv | AT huseyinisık newfixedpointresultsformodifiedcontractionsandapplications AT hassenaydi newfixedpointresultsformodifiedcontractionsandapplications AT mohdsalmimdnoorani newfixedpointresultsformodifiedcontractionsandapplications AT haithamqawaqneh newfixedpointresultsformodifiedcontractionsandapplications |