Quadruple Best Proximity Points with Applications to Functional and Integral Equations
This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our stud...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1849891 |
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| _version_ | 1832553577713762304 |
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| author | Hasanen A. Hammad Rashwan A. Rashwan A. Nafea Fahd Jarad |
| author_facet | Hasanen A. Hammad Rashwan A. Rashwan A. Nafea Fahd Jarad |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper. |
| format | Article |
| id | doaj-art-e09e9ca0b2d042499b4031c05212e1c8 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e09e9ca0b2d042499b4031c05212e1c82025-02-03T05:53:49ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1849891Quadruple Best Proximity Points with Applications to Functional and Integral EquationsHasanen A. Hammad0Rashwan A. Rashwan1A. Nafea2Fahd Jarad3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.http://dx.doi.org/10.1155/2022/1849891 |
| spellingShingle | Hasanen A. Hammad Rashwan A. Rashwan A. Nafea Fahd Jarad Quadruple Best Proximity Points with Applications to Functional and Integral Equations Advances in Mathematical Physics |
| title | Quadruple Best Proximity Points with Applications to Functional and Integral Equations |
| title_full | Quadruple Best Proximity Points with Applications to Functional and Integral Equations |
| title_fullStr | Quadruple Best Proximity Points with Applications to Functional and Integral Equations |
| title_full_unstemmed | Quadruple Best Proximity Points with Applications to Functional and Integral Equations |
| title_short | Quadruple Best Proximity Points with Applications to Functional and Integral Equations |
| title_sort | quadruple best proximity points with applications to functional and integral equations |
| url | http://dx.doi.org/10.1155/2022/1849891 |
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