Description

• Title:
  On some properties of the solution set map to Volterra integral inclusion
• Creator:
  Pietkun, Radosław
• Description:
  For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map, corresponding to this Volterra integral equation, possesses a continuous singlevalued selection; and the image of a convex set under the solution set map is acyclic. The solution set to the Volterra integral inclusion in a separable Banach space and the preimage of this set through the Volterra integral operator are shown to be absolute retracts.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.03.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 715 - 737;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.006/11352 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.006/11353
• Subject:
  Integral inclusion;
  solution set map;
  $R_\delta$-set;
  absolute retract;
  acyclicity;
  continuous selection;
  45D05;
  45G10;
  45N05;
  47H30;
  54C60;
  54C65
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.006
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other