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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Bibliographic Details
Published in:Journal of function spaces 2022-05, Vol.2022, p.1-8
Main Authors: Mohiuddine, S. A., Das, Anupam, Alotaibi, Abdullah
Format: Article
Language:English
Subjects:
Banach spaces
Continuity (mathematics)
Existence theorems
Fixed points (mathematics)
Inequality
Integral equations
Mathematical analysis
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Summary: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/4527439