On the Solvability of a Class of Nonlinear Integral Equations in Hölder Spaces. (12th March 2022)

• Record Type: Journal Article
• Authors: Özdemir, İsmet
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 4(2022)
• Page Start: 365
• Page End: 393
• Publication Date: 2022-03-12
• Subjects: Nonlinear integral equation -- Hölder spaces -- Schauder fixed point theorem; 45G10 -- 45M99 -- 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2032148
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, using the classical Schauder fixed point theorem, we prove that a nonlinear class of integral equations has at least one solution in the space of functions satisfying the Hölder condition. Also, some important examples showing the applicability of the existence theorem presented in this study are given.