BARRIER METHODS FOR EQUILIBRIUM PROBLEMS

Monica Bianchi, I. Konnov, R. Pini

Research output: Contribution to journalArticlepeer-review

Abstract

We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem. We obtain convergence properties of the method under mild assumptions.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalPURE AND APPLIED FUNCTIONAL ANALYSIS
Volume2017
Publication statusPublished - 2017

Keywords

  • Equilibrium problems
  • barrier method
  • non-monotone bifunctions
  • regularization method

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