On countable determination of the Kuratowski measure of noncompactness

DOI10.1016/j.jmaa.2021.125370zbMath1501.47092arXiv2101.11481OpenAlexW3165237307MaRDI QIDQ2049343

Xiaoling Chen, Li Xing Cheng

Publication date: 25 August 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11481

zbMATH Keywords

metric spaceBanach spaceKuratowski's measure of noncompactnesscountable determinationstrongly finite representability

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (7)

A study on asymptotically periodic behavior for evolution equations with delay in Banach spaces ⋮ On a Cauchy problem in Banach spaces ⋮ A study on decay mild solutions of damped elastic systems with nonlocal conditions in Banach spaces ⋮ A study on \(S\)-asymptotically \(\omega\)-periodic positive mild solutions for damped elastic systems ⋮ Lower and upper solutions for damped elastic systems with delay in ordered Banach space ⋮ Unnamed Item ⋮ Monotone iterative technique for nonlocal problems of damped elastic systems with delay

Cites Work

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• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Multivalued perturbations of \(m\)-accretive differential inclusions
• Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
• Punti uniti in trasformazioni a codominio non compatto
• On super-weakly compact sets and uniformly convexifiable sets
• MEASURES OF NONCOMPACTNESS IN ULTRAPRODUCTS

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