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

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	545-561
Number of pages	17
Journal	Journal of the Operations Research Society of China
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/s40305-017-0156-4
State	Published - 1 Dec 2017

Bibliographical note

Funding 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.

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

Keywords

Equilibrium problems
Proximal distance
Proximal method
Quasimonotonicity

Access to Document

10.1007/s40305-017-0156-4

Cite this

@article{df2e456e278a41ecbda1e54bf3d19f2b,

title = "An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems",

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.}",

note = "Publisher Copyright: {\textcopyright} 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = dec,

day = "1",

doi = "10.1007/s40305-017-0156-4",

language = "Ingl{\'e}s",

volume = "5",

pages = "545--561",

journal = "Journal of the Operations Research Society of China",

issn = "2194-668X",

publisher = "Springer Science + Business Media",

number = "4",

}

TY - JOUR

T1 - An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

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

UR - http://www.scopus.com/inward/record.url?scp=85037668395&partnerID=8YFLogxK

U2 - 10.1007/s40305-017-0156-4

DO - 10.1007/s40305-017-0156-4

M3 - Artículo

AN - SCOPUS:85037668395

SN - 2194-668X

VL - 5

SP - 545

EP - 561

JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

IS - 4

ER -

An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this