F-Contraction Mappings on Metric-Like Spaces in Connection With Integral Equations on Time Scales

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Date

2020

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Springer-verlag Italia Srl

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Abstract

In this paper we investigate the existence and uniqueness of fixed points of certain (phi,F)-type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness of solutions of nonlinear Fredholm integral equations of the second kind on time scales. We also present a particular example which demonstrates our theoretical results.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695; Aksoy, Umit/0000-0002-6014-1898

Keywords

Fredholm integral equations, F-contraction, Metric-like, Other nonlinear integral equations, metric-like spaces, Fixed-point and coincidence theorems (topological aspects), Real analysis on time scales or measure chains, \(F\)-contraction, Fredholm integral equations

Fields of Science

0101 mathematics, 01 natural sciences

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OpenCitations Citation Count
34

Source

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Volume

114

Issue

3

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CrossRef : 2

Scopus : 58

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58

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51

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4

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