(<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations
The present article is devoted to prove some fixed point results for <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>ψ</mi><mo>,</mo><mi>ϕ</mi><mo>)</mo></mrow></semantics>...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/10/2111 |
| _version_ | 1797469857493549056 |
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| author | Faizan Ahmad Khan |
| author_facet | Faizan Ahmad Khan |
| author_sort | Faizan Ahmad Khan |
| collection | DOAJ |
| description | The present article is devoted to prove some fixed point results for <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>ψ</mi><mo>,</mo><mi>ϕ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contractions in the framework of metric space equipped with a locally finitely <inline-formula><math display="inline"><semantics><mi mathvariant="script">G</mi></semantics></math></inline-formula>-transitive relation. The results proved in this article improve and weaken some existing fixed point results available in the literature. Finally, an example is provided for attesting to the credibility of my results. |
| first_indexed | 2024-03-09T19:26:59Z |
| format | Article |
| id | doaj.art-979f2aba0bf94971a15a6363d3d1c089 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T19:26:59Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-979f2aba0bf94971a15a6363d3d1c0892023-11-24T02:52:36ZengMDPI AGSymmetry2073-89942022-10-011410211110.3390/sym14102111(<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary RelationsFaizan Ahmad Khan0Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaThe present article is devoted to prove some fixed point results for <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>ψ</mi><mo>,</mo><mi>ϕ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contractions in the framework of metric space equipped with a locally finitely <inline-formula><math display="inline"><semantics><mi mathvariant="script">G</mi></semantics></math></inline-formula>-transitive relation. The results proved in this article improve and weaken some existing fixed point results available in the literature. Finally, an example is provided for attesting to the credibility of my results.https://www.mdpi.com/2073-8994/14/10/2111(<em>ψ,ϕ</em>)-contractions\({\mathcal{G}}\)-closed relationsℜ-continuous maps<span></span> |
| spellingShingle | Faizan Ahmad Khan (<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations Symmetry (<em>ψ,ϕ</em>)-contractions \({\mathcal{G}}\)-closed relations ℜ-continuous maps<span></span> |
| title | (<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations |
| title_full | (<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations |
| title_fullStr | (<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations |
| title_full_unstemmed | (<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations |
| title_short | (<em>ψ</em>,<em>ϕ</em>)-Contractions under a Class of Transitive Binary Relations |
| title_sort | em ψ em em ϕ em contractions under a class of transitive binary relations |
| topic | (<em>ψ,ϕ</em>)-contractions \({\mathcal{G}}\)-closed relations ℜ-continuous maps<span></span> |
| url | https://www.mdpi.com/2073-8994/14/10/2111 |
| work_keys_str_mv | AT faizanahmadkhan empsememphemcontractionsunderaclassoftransitivebinaryrelations |