Abstract

We describe a special class of quasi-equilibrium problems in metric spaces and proposea novel simple threshold descent method for solving these problems. Due tothe framework, the convergence of the method cannot be established with the usual convexity or generalized convexity assumptions. Under mild conditions, the iterative procedure gives solutions of the quasi-equilibrium problem. We apply this method to scalar and vector generalized quasi-equilibrium problems and to some classes of relative optimization problems.
Original languageEnglish
Pages (from-to)N/A-N/A
JournalOptimization Letters
Volume2023
DOIs
Publication statusPublished - 2023

Keywords

  • Brezis pseudomonotonicity
  • Threshold descendent method
  • quasi-equilibrium problems

Fingerprint

Dive into the research topics of 'On a threshold descent method for quasi-equilibria'. Together they form a unique fingerprint.

Cite this