Existence of solutions of a nonlinear integral equations in a \textit{WC}-Banach algebra

DOI10.1007/S11587-021-00618-9OpenAlexW3184129939MaRDI QIDQ6078879

Bilel Mefteh

Publication date: 25 October 2023

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-021-00618-9

zbMATH Keywords

weak topologyfixed point theoremsmeasure of weak noncompactnessfunctional integral equations\textit{WC}-Banach algebra

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

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• Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
• Fixed points and solutions of operator equations for the weak topology in Banach algebras
• New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations
• On the equivalence of some concepts in the theory of Banach algebras
• Leray-Schauder alternatives for weakly sequentially continuous mappings and application to transport equation
• Fixed point theory in WC--Banach algebras
• Nonlinear Functional Analysis in Banach Spaces and Banach Algebras
• Bounded Variation and Around
• On representation of linear operators on $C_0(T,{\bf X})$

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