An extension of Darbo's theorem and its application to existence of solution for a system of integral equations. Issue 1 (1st January 2019)

• Record Type: Journal Article
• Authors: Banaei, Shahram
• Editors: Srivastava, Hari M.
• Is Part Of: Cogent mathematics & statistics. Volume 6:Issue 1(2019)
• Publication Date: 2019-01-01
• Subjects: measure of noncompactness -- fixed point theorem -- integral equations; 47H09 -- 47H10; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2019.1614319
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: In this paper, we extend Darbo's fixed point theorem in Banach space via the concept of the class of operators O ( f ;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations.