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

Maria Dobriţoiu
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Maria Dobriţoiu: Department of Mathematics and Computer Science, University of Petroşani, 332006 Petroşani, Romania

Mathematics, 2020, vol. 9, issue 1, 1-10

Abstract: Using some of the extended fixed point results for Geraghty contractions in b -metric spaces given by Faraji, Savi? and Radenovi? 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.

Keywords: b -metric space; Geraghty contraction; fixed point; integral equation; modified argument (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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