Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations
In this paper, we introduce a new implicit function without any continuity requirement and utilize the same to prove unified relation-theoretic fixed point results. We adopt some examples to exhibit the utility of our implicit function. Furthermore, we use our results to derive some multidimensional...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020435/fulltext.html |
| _version_ | 1818036469012365312 |
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| author | Waleed M. Alfaqih Abdullah Aldurayhim Mohammad Imdad Atiya Perveen |
| author_facet | Waleed M. Alfaqih Abdullah Aldurayhim Mohammad Imdad Atiya Perveen |
| author_sort | Waleed M. Alfaqih |
| collection | DOAJ |
| description | In this paper, we introduce a new implicit function without any continuity requirement and utilize the same to prove unified relation-theoretic fixed point results. We adopt some examples to exhibit the utility of our implicit function. Furthermore, we use our results to derive some multidimensional fixed point results. Finally, as applications of our results, we study the existence and uniqueness of solution for a first-order ordinary differential equations. |
| first_indexed | 2024-12-10T07:11:26Z |
| format | Article |
| id | doaj.art-cf0ba973b7fc4f358055ca83ee85a119 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T07:11:26Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-cf0ba973b7fc4f358055ca83ee85a1192022-12-22T01:58:03ZengAIMS PressAIMS Mathematics2473-69882020-09-01566766678110.3934/math.2020435Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equationsWaleed M. Alfaqih0Abdullah Aldurayhim1Mohammad Imdad2Atiya Perveen31 Department of Mathematics, Aligarh Muslim University, Aligarh, India2 Department of Mathematics, Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia1 Department of Mathematics, Aligarh Muslim University, Aligarh, India1 Department of Mathematics, Aligarh Muslim University, Aligarh, IndiaIn this paper, we introduce a new implicit function without any continuity requirement and utilize the same to prove unified relation-theoretic fixed point results. We adopt some examples to exhibit the utility of our implicit function. Furthermore, we use our results to derive some multidimensional fixed point results. Finally, as applications of our results, we study the existence and uniqueness of solution for a first-order ordinary differential equations.https://www.aimspress.com/article/10.3934/math.2020435/fulltext.htmlfixed pointmultidimensional fixed pointimplicit functionbinary relationordinary differential equations |
| spellingShingle | Waleed M. Alfaqih Abdullah Aldurayhim Mohammad Imdad Atiya Perveen Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations AIMS Mathematics fixed point multidimensional fixed point implicit function binary relation ordinary differential equations |
| title | Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations |
| title_full | Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations |
| title_fullStr | Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations |
| title_full_unstemmed | Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations |
| title_short | Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations |
| title_sort | relation theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations |
| topic | fixed point multidimensional fixed point implicit function binary relation ordinary differential equations |
| url | https://www.aimspress.com/article/10.3934/math.2020435/fulltext.html |
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