Description

• Title:
  Fixed point index theory for perturbation of expansive mappings by $k$-set contractions
• Creator:
  Djebali, Smaïl;
  Mebarki, Karima
• Description:
  In this work, we develop a fixed point index theory for the sum of $k$-set contractions and expansive mappings with constant $h> 1$ when $0\le k< h-1$ as well as in the limit case $k=h-1$. After computing this new index, several fixed point theorems and recent results are derived, including Krasnosel'skii type theorems. Two examples of application illustrate the theoretical results.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.11.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 613 - 640;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.055/23678 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.055/23679
• Subject:
  Index;
  fixed point;
  k-set contraction;
  expansive mapping;
  Krasnosel'skii's Theorem;
  compression and expansion;
  Primary;
  37C25;
  47H10;
  Secondary;
  58J20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.055
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other