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An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

Lennin Mallma Ramirez(lenninmr***at***gmail.com)
Erik Papa Quiroz(erikpapa***at***gmail.com)
Paulo Roberto Oliveira(oliveira.pauloroberto***at***gmail.com )

Abstract: In this paper we propose an inexact proximal point method to solve equilibrium problem using proximal distances and the diagonal subdi erential. Under some natural assumptions on the problem and the quasimonotonicity condition on the bifunction, we prove that the sequence generated for the method converges to a solution point of the problem.

Keywords: Equilibrium problems; quasimonotonicity; proximal distance; proximal method.

Category 1: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity )

Citation: Report01-2016-PESC-COPPE-UFRJ

Download: [PDF]

Entry Submitted: 03/01/2016
Entry Accepted: 03/01/2016
Entry Last Modified: 03/01/2016

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