Application of measures of noncompactness to the system of integral equations. Issue 1 (1st January 2019)

• Record Type: Journal Article
• Authors: Banaei, Shahram; Samadi, Ayub
• Editors: Srivastava, Hari M.
• Is Part Of: Cogent mathematics & statistics. Volume 6:Issue 1(2019)
• Publication Date: 2019-01-01
• Subjects: Darbo's fixed point theorem -- measure of noncompactness -- integral equations; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2019.1702860
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: In this paper, by applying a measure of noncompactness in the space L ∞ (ℝ n ) and a new generalization of Darbo fixed point theorem, we study the existence of solutions for a class of the system of integral equations. Our main result is more general than the main result of [2]. Finally, an example is presented to show the usefulness of the outcome.