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Mathematics
Other literature type . 2020
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Mathematics
Article . 2020 . Peer-reviewed
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Mathematics
Article
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Mathematics
Article . 2020
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https://dx.doi.org/10.3390/mat...
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The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 24 Dec 2020 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 29 (eissn: 2227-7390, Copyright policy )
Authors: Maria Dobriţoiu;

doi: 10.3390/math9010029

The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

Abstract

Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness conditions for the solution of a nonlinear Fredholm–Volterra integral equation with a modified argument.

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Keywords

integral equation, fixed point, modified argument, QA1-939, <i>b</i>-metric space, Geraghty contraction, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
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