An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

Lennin Mallma Ramirez; Erik Alex Papa Quiroz; P. R. Oliveira

doi:10.1007/s40305-017-0156-4

An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

Lennin Mallma Ramirez, Erik Alex Papa Quiroz, P. R. Oliveira

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	545-561
Número de páginas	17
Publicación	Journal of the Operations Research Society of China
Volumen	5
N.º	4
DOI	https://doi.org/10.1007/s40305-017-0156-4
Estado	Publicada - 1 dic. 2017
Publicado de forma externa	Sí

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© 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg.

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abstract = "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.",

keywords = "Equilibrium problems, Proximal distance, Proximal method, Quasimonotonicity",

author = "{Mallma Ramirez}, Lennin and {Papa Quiroz}, {Erik Alex} and Oliveira, {P. R.}",

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AU - Mallma Ramirez, Lennin

AU - Papa Quiroz, Erik Alex

AU - Oliveira, P. R.

PY - 2017/12/1

Y1 - 2017/12/1

N2 - 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.

AB - 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.

KW - Equilibrium problems

KW - Proximal distance

KW - Proximal method

KW - Quasimonotonicity

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DO - 10.1007/s40305-017-0156-4

M3 - Artículo

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EP - 561

JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

IS - 4

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An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

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