An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it
Year: 2026
Type: preprint
Abstract: In our study, Darbo's fixed point theorem and the coupled fixed point theorem have been extended. The two theorems were generalized using $C-class$ mapping. Using the Darbo type theorem, we gave an existence result for a functional integral equation along with an appropriate illustration. In addition, we explored the numerical solution of a given functional integral problem using modified homotopy perturbation.
Source: arXiv (Cornell University)
Authors: Deuri, Bhuban Chandra, Das, Anupam
Institutions: Rajiv Gandhi University, Cotton University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208777033