Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem. (19th May 2022)

• Record Type: Journal Article
• Authors: Mohiuddine, S. A.; Das, Anupam; Alotaibi, Abdullah
• Other Names: Kumar Santosh Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-05-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/4527439
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.