Description

• Title:
  Nonconvex retracts and computation for fixed point index in cones
• Creator:
  Zhang, Guowei;
  Li, Pengcheng
• Description:
  In this paper we construct two retracts in a cone by nonnegative functionals of convex and concave types, and an example is given to illustrate that the retracts are nonconvex. Then the nonconvex retracts are used to compute the fixed point index for the completely continuous operator in the domains $D_1\cap D_2$ and $D_1\cup D_2$, where $D_1$ and $D_2$ are bounded open sets in the cone. The computation for fixed point index can be applied to the existence and the more precise location of positive fixed points.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 43, No 2 (June 2014); 365 - 372;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.021/8135
• Subject:
  Nonconvex retract;
  fixed point index;
  completely continuous operator;
  Primary 47H11;
  Secondary 47H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.021
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other