Theorems of ascoli type involving measures of noncompactness

DOI10.1016/0362-546X(81)90032-8zbMath0456.54007OpenAlexW1993178874MaRDI QIDQ3906092

Hans-Peter Heinz

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90032-8

zbMATH Keywords

almost periodic functionsmeasures of noncompactnessspaces of bounded functionslinear k-set-contractionstheorems of Ascoli type

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Regular measures of noncompactness and Ascoli-Arzelà type compactness criteria in spaces of vector-valued functions ⋮ On nonconvex valued Volterra integral inclusions in Banach spaces ⋮ Existence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spaces ⋮ Compactness estimates for integral operators of vector functions with nonmeasurable kernels ⋮ Compactness and existence results for ordinary differential equations in Banach spaces ⋮ Unnamed Item

Cites Work

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• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Semigroups of operators and measures of noncompactness
• A generalization of the Ascoli theorem and an application to functional differential equations
• Sample solutions of stochastic ordinary differential equations^∗
• Compact Families of Almost Periodic Functions and an Application of the Schauder Fixed-Point Theorem
• LIMIT-COMPACT AND CONDENSING OPERATORS
• The radius of the essential spectrum

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