Description

• Title:
  Equilibria on $L$-retracts in Riemannian manifolds
• Creator:
  Hosseini, Seyedehsomayeh;
  Pouryayevali, Mohamad R.
• Description:
  We introduce a class of subsets of Riemannian manifolds called the $L$-retract. Next we consider a topological degree for set-valued upper semicontinuous maps defined on open sets of compact $L$-retracts in Riemannian manifolds. Then, we present a theorem on the existence of equilibria (or zeros) of an upper semicontinuous set-valued map with nonempty closed convex values satisfying the tangency condition defined on a compact $L$-retract in a Riemannian manifold.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 2 (June 2016); 579 - 592;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.017/7949 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.017/7950
• Subject:
  Set-valued map;
  degree theory;
  Euler characteristic;
  equilibrium;
  Primary;
  58C30;
  Secondary;
  58C06;
  55M25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.017
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other