On generalization of Darbo-Sadovskii type fixed point theorems for iterated mappings in Fréchet spaces

DOI10.1007/s11784-018-0628-0zbMath1398.47003OpenAlexW2896073206MaRDI QIDQ1615355

Szymon Dudek, Leszek Olszowy

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0628-0

zbMATH Keywords

Fréchet spacesmeasures of noncompactnessreflexivityDarbo-Sadovskii type fixed point theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Remarks on incorrect measure of noncompactness in \(\mathrm{BC} (\mathbb{R}_+ \times \mathbb{R}_+)\)

Cites Work

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• Fixed point theorems in the Fréchet space \(\mathcal C(\mathbb R_+)\) and functional integral equations on an unbounded interval
• Reflexivity and the supremum of linear functionals
• A fixed point theorem for Frechet spaces
• Measures of noncompactness in metric fixed point theory
• A family of measures of noncompactness in the space \(L^1_{\mathrm{loc}}(\mathbb R_+)\) and its application to some nonlinear Volterra integral equation
• Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
• Fixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations
• On Contractive Mappings