On some properties of the solution set map to Volterra integral inclusion

DOI10.12775/TMNA.2017.006zbMath1376.45015arXiv1812.02807OpenAlexW2594180695MaRDI QIDQ2403363

Radosław Pietkun

Publication date: 8 September 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02807

zbMATH Keywords

Banach spaceVolterra integral inclusionsolution set map, \(R_\delta\)-set, absolute retract, acyclicity, continuous selection

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Selections in general topology (54C65) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

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