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On solvability for two-dimensional non-linear functional integral equations via measure of non-compactness

Year: 2024

Type: article

Abstract: In this paper, we find out conditions for the existence result of two dimensional generalized functional integral equations in \(C([0, c]\times [0, d])\). The main theorem is proved by using the theory of Petryshyn's fixed point theorem and measure of non-compactness. A few examples of equations is provided to show the applicability in various integral equations.

Source: The Journal of Nonlinear Sciences and Applications

DOI: 10.22436/jnsa.018.01.02

Authors: R. Kumar, B. Singh, S. Kumar

Institutions: Delhi Skill and Entrepreneurship University, Graphic Era Hill University, Indian Institute of Information Technology Design and Manufacturing Jabalpur

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404412281

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