APPROXIMATION, EXISTENCE AND UNIQUENESS OF THE INTEGRABLE LOCAL SOLUTION OF NONLINEAR HYBRID FUNCTIONAL INTEGRAL EQUATIONS

Authors

  • Janhavi B. Dhage Kasubai, Gurukul Colony, Ahmedpur - 413515, Latur, Maharashtra, INDIA Author https://orcid.org/0009-0001-7394-1229
  • Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur - 413515, Latur, Maharashtra, INDIA Author

DOI:

https://doi.org/10.56827/JRSMMS.2025.1301.2

Keywords:

Functional integral equation, Hybrid fixed point principle, Dhage iteration method, Approximation result,, Existence and uniqueness theorem

Abstract

In this paper, we prove a couple of approximation results for existence and uniqueness of the integrable local solutions of nonhomogeneous nonlinear hybrid functional integral equations under weaker partial compactness, partial Lipschitz and usual monotonicity type conditions. We employ the Dhage monotone iteration method based on the recent hybrid fixed point theorems of Dhage (2024) while establishing our main results of this paper. Our hypotheses and abstract results are also illustrated with a couple of numerical examples.

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Published

2025-12-30

Issue

Vol. 13 No. 1 (2025): Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Section

Research Article