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

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

Using some of the extended fixed point results for Geraghty contractions in <i>b</i>-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 solutio...

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Main Author: Maria Dobriţoiu
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
<i>b</i>-metric space
Geraghty contraction
fixed point
integral equation
modified argument
Online Access:https://www.mdpi.com/2227-7390/9/1/29
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spelling doaj-b1a423c984684fda8e6b2ddb727c40dd2020-12-25T00:03:56ZengMDPI AGMathematics2227-73902021-12-019292910.3390/math9010029The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty ContractionsMaria Dobriţoiu0Department of Mathematics and Computer Science, University of Petroşani, 332006 Petroşani, RomaniaUsing some of the extended fixed point results for Geraghty contractions in <i>b</i>-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.https://www.mdpi.com/2227-7390/9/1/29<i>b</i>-metric spaceGeraghty contractionfixed pointintegral equationmodified argument
collection DOAJ
language English
format Article
sources DOAJ
author Maria Dobriţoiu
spellingShingle Maria Dobriţoiu
The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions
Mathematics
<i>b</i>-metric space
Geraghty contraction
fixed point
integral equation
modified argument
author_facet Maria Dobriţoiu
author_sort Maria Dobriţoiu
title The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions
title_short The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions
title_full The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions
title_fullStr The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions
title_full_unstemmed The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions
title_sort existence and uniqueness of the solution of a nonlinear fredholm–volterra integral equation with modified argument via geraghty contractions
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-12-01
description Using some of the extended fixed point results for Geraghty contractions in <i>b</i>-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.
topic <i>b</i>-metric space
Geraghty contraction
fixed point
integral equation
modified argument
url https://www.mdpi.com/2227-7390/9/1/29
work_keys_str_mv AT mariadobritoiu theexistenceanduniquenessofthesolutionofanonlinearfredholmvolterraintegralequationwithmodifiedargumentviageraghtycontractions
AT mariadobritoiu existenceanduniquenessofthesolutionofanonlinearfredholmvolterraintegralequationwithmodifiedargumentviageraghtycontractions
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