Applications of measure of non-compactness and modified simulation function for solvability of nonlinear functional integral equations

DOI10.2298/FIL1917427HzbMath1503.47123MaRDI QIDQ5864267

Reza Arab, Bipan Hazarika, Hemant Kumar Nashine

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

fixed pointmeasure of noncompactnessfunctional integral equationssimulation function

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear integral equations (45G05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness ⋮ An existence result for functional integral equations via Petryshyn's fixed point theorem ⋮ Dynamic local and nonlocal initial value problems in Banach spaces ⋮ Existence and approximate solutions for Hadamard fractional integral equations in a Banach space ⋮ Unnamed Item ⋮ An existence result for an infinite system of implicit fractional integral equations via generalized Darbo's fixed point theorem

Cites Work

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• The existence of fixed points via the measure of noncompactness and its application to functional-integral equations
• Construction of a measure of noncompactness on \(BC(\Omega)\) and its application to Volterra integral equations
• Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
• Existence of solutions for a class of nonlinear Volterra singular integral equations
• Existence of solutions to nonlinear functional-integral equations via the measure of noncompactness
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• On the solution of linear and nonlinear integral equation.
• Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
• Singular Volterra integral equations
• Solvability of the infinite system of integral equations in two variables in the sequence spaces \(c_0\) and \(\ell_1\)
• Integral equations and stability of feedback systems
• Some generalizations of Darbo fixed point theorem and applications
• Metric-like spaces to prove existence of solution for nonlinear quadratic integral equation and numerical method to solve it
• A generalization of Darbo's theorem with application to the solvability of systems of integral equations
• Fixed points of condensing functions
• Existence of solutions for some classes of integro-differential equations via measure of noncompactness
• Quadratic equations and applications to Chandrasekhar's and related equations
• Some generalizations of Darbo fixed point theorem and its application
• A new approach to the study of fixed point theory for simulation functions

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