Journal of the Operations Research Society of China >
An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems
Online published: 2017-12-30
Supported by
L. Mallma Ramirez’s research was supported by Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior(CAPES). The research of the E. A. Papa Quiroz was supported by the Postdoctoral Scholarship CAPES-Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (No. EditalPAPD-2011), and P. R.Oliveira’s research was partially supported by Conselho Nacional de Desemvolvimento Científico e Tecnológico.
In this paper, we propose an inexact proximal point method to solve equilibrium problems using proximal distances and the diagonal subdifferential. Under some natural assumptions on the problem and the quasimonotonicity condition on the bifunction, we prove that the sequence generated by the method converges to a solution point of the problem.
Lennin Mallma Ramirez · Erik Alex Papa Quiroz ·P. R. Oliveira . An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems[J]. Journal of the Operations Research Society of China, 2017 , 5(4) : 545 -561 . DOI: 10.1007/s40305-017-0156-4
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