Description

• Title:
  An Extremum Principle for Smooth Problems
• Creator:
  Idczak, Dariusz;
  Walczak, Stanislaw
• Contributor:
  Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland;
  Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland; Faculty of Mathematics and Computer Science, Stefan Batory State University, Batorego 64C, 96-100 Skierniewice, Poland
• Description:
  We derive an extremum principle. It can be treated as an intermediate result between the celebrated smooth-convex extremum principle due to Ioffe and Tikhomirov and the Dubovitskii–Milyutin theorem. The proof of this principle is based on a simple generalization of the Fermat’s theorem, the smooth-convex extremum principle and the local implicit function theorem. An integro-differential example illustrating the new principle is presented.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa 4.0 Międzynarodowe;
  http://creativecommons.org/licenses/by/4.0
• Date:
  2021.10.07;
  2020
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  MDPI
• Relation:
  Games;11(4);
  56
• Subject:
  extremum principle;
  Fermat’s theorem;
  local implicit function theorem;
  90C48;
  49K27
• Identifier:
  Idczak, D.; Walczak, S. An Extremum Principle for Smooth Problems. Games 2020, 11, 56. https://doi.org/10.3390/g11040056;
  2073-4336;
  http://hdl.handle.net/11089/39350 ;https://doi.org/10.3390/g11040056
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image