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

Mathematics

Maria Dobriţoiu¹ 

[1] Department of Mathematics and Computer Science, University of Petroşani, 332006 Petroşani, Romania;

关键词: b-metric space;    Geraghty contraction;    fixed point;    integral equation;    modified argument;   

DOI  :  10.3390/math9010029

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown