Description

• Title:
  On some classes of operator inclusions with lower semicontinuous nonlinearities
• Creator:
  Bader, Ralf;
  Kamenskiĭ, Mikhail I.;
  Obukhovskiĭ, Valeri
• Description:
  We consider a class of multimaps which are the composition of a superposition multioperator ${\mathcal P}_F$ generated by a nonconvex-valued almost lower semicontinuous nonlinearity $F$ and an abstract solution operator $S$. We prove that under some suitable conditions such multimaps are condensing with respect to a special vector-valued measure of noncompactness and construct a topological degree theory for this class of multimaps yielding some fixed point principles. It is shown how abstract results can be applied to semilinear inclusions, inclusions with $m$-accretive operators and time-dependent subdifferentials, nonlinear evolution inclusions and integral inclusions in Banach spaces.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2001.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 17, No 1 (March 2001); 143 - 156;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.010/9961
• Subject:
  Multivalued map;
  topological degree;
  measure of noncompactness;
  differential inclusion;
  47H11;
  47H09;
  47H04;
  34G25;
  34A60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.010
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other