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- Title
A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations.
- Authors
Hernandez-Veron, Miguel A.; Singh, Sukhjit; Martınez, Eulalia; Yadav, Nisha
- Abstract
In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non-differentiable Nemytskii operator. To do this, we will transform the problem of locating a fixed point for an integral operator into the problem of locating a solution of an integral equation. Thus, assuming conditions on the Nemytskii operator, we will obtain a global convergence domain for the solution of the considered integral equation, taking for this a uniparametric family of derivativefree iterative processes with quadratic convergence. This result provides us a new fixed-point result for the integral operator considered.
- Subjects
FREDHOLM equations; INTEGRAL equations; INTEGRAL operators; NONLINEAR integral equations; DIFFERENTIABLE dynamical systems
- Publication
Mathematical Modelling & Analysis, 2024, Vol 29, Issue 1, p161
- ISSN
1392-6292
- Publication type
Article
- DOI
10.3846/mma.2024.18338