Description

• Title:
  New results of mixed monotone operator equations
• Creator:
  Wang, Tian;
  Hao, Zhaocai
• Description:
  In this article, we study the existence and uniqueness of fixed points for some mixed monotone operators and monotone operators with perturbation.These mixed monotone operators and monotone operators are $e$-concave-convex operators and $e$-concave operators respectively.Without using compactness or continuity, we obtain the existence and uniqueness of fixed points by monotone iterative techniques and properties of cones. Our main results extended and improved some existing results. Also, we applied the results to some differential equations.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.03.02
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 1 (March 2019); 271 - 289;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.003/16938 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.003/16939
• Subject:
  Fixed point;
  $e$-concave-convex operator;
  $e$-concave operator;
  mixed monotone;
  34B16;
  34B18
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.003
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other