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.
|Number of pages||17|
|Journal||Journal of the Operations Research Society of China|
|State||Published - 1 Dec 2017|
Bibliographical noteFunding Information:
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.
© 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg.
- Equilibrium problems
- Proximal distance
- Proximal method