Infinite system of integral equations in two variables of hammerstein type in C0 and ℓ1 spaces

DOI10.2298/FIL1911441MzbMath1499.45017OpenAlexW3007317846MaRDI QIDQ5863895

Tanweer Jalal, Ishfaq Ahmad Malik

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1911441m

zbMATH Keywords

measures of noncompactnessDarbo's fixed point theoremequicontinuous setsMeir-Keeler condensing operatorinfinite system of integral equations in two variables

Mathematics Subject Classification ID

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)

Related Items (4)

On solvability of Volterra-Hammerstein integral equations in two variables coordinatewise converging at infinity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence of solution for system of differential equations in \(c_0\) and \(\ell_1\) spaces

Cites Work

• Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness
• Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Application of measure of noncompactness for solvability of the infinite system of integral equations in two variables in \(\ell _{p} \) \((1<p< \infty)\)
• Solvability of the infinite system of integral equations in two variables in the sequence spaces \(c_0\) and \(\ell_1\)
• Punti uniti in trasformazioni a codominio non compatto
• Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• Applications of Schauder's fixed-point theorem with respect to iterated functional equations
• Solvability of infinite systems of differential equations in Banach sequence spaces
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