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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Main Authors: S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi
Format: Article
Language:English
Published: Wiley 2022-01-01
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.
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institution Kabale University
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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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AT anupamdas existenceofsolutionsfornonlinearintegralequationsintemperedsequencespacesviageneralizeddarbotypetheorem
AT abdullahalotaibi existenceofsolutionsfornonlinearintegralequationsintemperedsequencespacesviageneralizeddarbotypetheorem