Positive Solution of a Quadratic Integral Equation Using Generalization of Darbo's Fixed Point Theorem. (27th July 2019)

• Record Type: Journal Article
• Authors: Arab, Reza; Mursaleen, Mohammad; Rizvi, Syed M. H.
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 10(2019)
• Page Start: 1150
• Page End: 1168
• Publication Date: 2019-07-27
• Subjects: Fixed point -- measures of non-compactness -- positive solutions -- quadratic integral equation; 47H30 -- 46E10 -- 34A08 -- 46E15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1589496
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The objective of this article is to establish a fixed point theorem using different class of control functions, which is a generalization of Darbo's fixed point theorem (DFPT) and its various versions obtained by several authors. Using this result we obtain existence of at least one positive solution for a quadratic integral equation of Fredholm type.