Description

• Title:
  Volterra-Choquet nonlinear operators
• Creator:
  Gal, Sorin G.
• Description:
  In this paper we study to what extent properties of the classical linear Volterra operators can be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the nonlinear Choquet integral with respect to a nonadditive set function. Compactness, Lipschitz and cyclicity properties are studied.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.09.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 1 (March 2021); 89 - 106;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.009/26460 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.009/26461
• Subject:
  Choquet integral;
  monotone;
  submodular and continuous from below set function;
  Choquet $L^{p}$-space;
  distorted Lebesgue measures;
  Volterra-Choquet nonlinear operator;
  compactness;
  Lipschitz properties;
  cyclicity;
  47H30;
  28A12;
  28A25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other