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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Publisher
Springer-verlag Italia Srl
Open Access Color
Green Open Access
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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
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
Citation
Agarwal, Ravi P...et al. (2020). "F-contraction mappings on metric-like spaces in connection with integral equations on time scales", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 114, No. 3.
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OpenCitations Citation Count
37
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 : 59
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59
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1
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