Relation-theoretic almost ϕ-contractions with an application to elastic beam equations
In this article, we prove some results on existence and uniqueness of fixed points for an almost $ \phi $-contraction mapping defined on a metric space endowed with an amorphous relation. Our results generalize and improve several well known fixed point theorems of the existing literature. To substa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023963?viewType=HTML |
| _version_ | 1827922664983887872 |
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| author | Ebrahem A. Algehyne Nifeen Hussain Altaweel Mounirah Areshi Faizan Ahmad Khan |
| author_facet | Ebrahem A. Algehyne Nifeen Hussain Altaweel Mounirah Areshi Faizan Ahmad Khan |
| author_sort | Ebrahem A. Algehyne |
| collection | DOAJ |
| description | In this article, we prove some results on existence and uniqueness of fixed points for an almost $ \phi $-contraction mapping defined on a metric space endowed with an amorphous relation. Our results generalize and improve several well known fixed point theorems of the existing literature. To substantiate the credibility of our results, we construct some examples. We also apply our results to determine a unique solution of a boundary value problem associated with nonlinear elastic beam equations. |
| first_indexed | 2024-03-13T04:45:57Z |
| format | Article |
| id | doaj.art-ed8330a488f34b6998a34901af2af9c7 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T04:45:57Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ed8330a488f34b6998a34901af2af9c72023-06-19T01:16:44ZengAIMS PressAIMS Mathematics2473-69882023-06-0188189191892910.3934/math.2023963Relation-theoretic almost ϕ-contractions with an application to elastic beam equationsEbrahem A. Algehyne0Nifeen Hussain Altaweel1Mounirah Areshi2Faizan Ahmad Khan3Department of Mathematics, University of Tabuk, Tabuk-71491, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk-71491, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk-71491, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk-71491, Saudi ArabiaIn this article, we prove some results on existence and uniqueness of fixed points for an almost $ \phi $-contraction mapping defined on a metric space endowed with an amorphous relation. Our results generalize and improve several well known fixed point theorems of the existing literature. To substantiate the credibility of our results, we construct some examples. We also apply our results to determine a unique solution of a boundary value problem associated with nonlinear elastic beam equations.https://www.aimspress.com/article/doi/10.3934/math.2023963?viewType=HTMLalmost contractionsboundary value problemsfixed pointsbinary relations |
| spellingShingle | Ebrahem A. Algehyne Nifeen Hussain Altaweel Mounirah Areshi Faizan Ahmad Khan Relation-theoretic almost ϕ-contractions with an application to elastic beam equations AIMS Mathematics almost contractions boundary value problems fixed points binary relations |
| title | Relation-theoretic almost ϕ-contractions with an application to elastic beam equations |
| title_full | Relation-theoretic almost ϕ-contractions with an application to elastic beam equations |
| title_fullStr | Relation-theoretic almost ϕ-contractions with an application to elastic beam equations |
| title_full_unstemmed | Relation-theoretic almost ϕ-contractions with an application to elastic beam equations |
| title_short | Relation-theoretic almost ϕ-contractions with an application to elastic beam equations |
| title_sort | relation theoretic almost ϕ contractions with an application to elastic beam equations |
| topic | almost contractions boundary value problems fixed points binary relations |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023963?viewType=HTML |
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