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An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it

  • Bhuban Chandra Deuri
  • Anupam Das
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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.

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Cite

BibTeXRIS
BibTeX
@misc{deuri2026existence,
  title = {{An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it}},
  author = {Bhuban Chandra Deuri and Anupam Das},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03733},
  eprint = {2609.03733},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03733},
}
RIS
TY  - UNPB
TI  - An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it
AU  - Bhuban Chandra Deuri
AU  - Anupam Das
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.03733
UR  - https://arxiv.org/abs/2609.03733
AB  - 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.
ER  -