New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations

DOI10.1016/j.jfa.2010.06.016zbMath1209.47026OpenAlexW1965404456MaRDI QIDQ709283

Afif Ben Amar, Soufiene Chouayekh, Aref Jeribi

Publication date: 18 October 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.06.016

zbMATH Keywords

Banach algebranonlinear integral equationKrasnoselskii type fixed point theoremssequentially weakly continuous

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

• Solutions of some functional-integral equations in Banach algebra
• Monotonic solutions of a quadratic integral equation of fractional order
• On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations
• Existence of nondecreasing and continuous solutions of an integral equation with linear modification of the argument
• On a fixed point theorem in Banach algebras with applications
• A fixed-point theorem of Krasnoselskii
• Some Fixed Point Theorems and Application to Biological Model
• On Nonlinear Contractions
• On representation of linear operators on $C_0(T,{\bf X})$
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