A Solution of the System of Integral Equations in Product Spaces via Concept of Measures of Noncompactness

DOI10.1007/978-981-33-6647-3_7zbMath1472.47099OpenAlexW3159808543MaRDI QIDQ4956875

Rabha W. Ibrahim, Reza Arab, Hemant Kumar Nashine

Publication date: 2 September 2021

Published in: Advances in Metric Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-33-6647-3_7

zbMATH Keywords

integral equationsmeasures of noncompactnessDarbo fixed point theoremKrasnoselskii fixed point theoremset contractive map

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Systems of nonlinear integral equations (45G15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• On the application of measure of noncompactness to the existence of solutions for fractional differential equations
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Noncompactness principles in nonlinear operator approximation theory
• Existence of solutions for a class of Fredholm integral-differential equations via measure of noncompactness
• Infinite system of differential equations in some \(BK\) spaces
• Singular Volterra integral equations
• Existence and asymptotic stability of solutions to a functional-integral equation
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
• Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
• Punti uniti in trasformazioni a codominio non compatto
• MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Krasnoselskii's inversion principle and fixed points
• SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS

This page was built for publication: A Solution of the System of Integral Equations in Product Spaces via Concept of Measures of Noncompactness