Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem
Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. We first demonstrate the generalized Darbo-type fixed point theorems involving the concept of continuous functions. Keeping one of these the...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4527439 |
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| author | S. A. Mohiuddine Anupam Das Abdullah Alotaibi |
| author_facet | S. A. Mohiuddine Anupam Das Abdullah Alotaibi |
| author_sort | S. A. Mohiuddine |
| collection | DOAJ |
| description | Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. We first demonstrate the generalized Darbo-type fixed point theorems involving the concept of continuous functions. Keeping one of these theorems into our account, we study the existence of solutions of system of nonlinear integral equations in the setting of tempered sequence space. Moreover, a very interesting and illustrative example is designed to visualize our findings. |
| format | Article |
| id | doaj-art-20cc7adb4e2d4be3afcea74a1b9f06ab |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-20cc7adb4e2d4be3afcea74a1b9f06ab2025-02-03T05:53:34ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4527439Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type TheoremS. A. Mohiuddine0Anupam Das1Abdullah Alotaibi2Department of General Required CoursesDepartment of MathematicsOperator Theory and Applications Research GroupTwo concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. We first demonstrate the generalized Darbo-type fixed point theorems involving the concept of continuous functions. Keeping one of these theorems into our account, we study the existence of solutions of system of nonlinear integral equations in the setting of tempered sequence space. Moreover, a very interesting and illustrative example is designed to visualize our findings.http://dx.doi.org/10.1155/2022/4527439 |
| spellingShingle | S. A. Mohiuddine Anupam Das Abdullah Alotaibi Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem Journal of Function Spaces |
| title | Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem |
| title_full | Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem |
| title_fullStr | Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem |
| title_full_unstemmed | Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem |
| title_short | Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem |
| title_sort | existence of solutions for nonlinear integral equations in tempered sequence spaces via generalized darbo type theorem |
| url | http://dx.doi.org/10.1155/2022/4527439 |
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