An extragradient method for equilibrium problems on Hadamard manifolds

被引：18

作者：

Cruz Neto, J. X. ^{[1
]}

Santos, P. S. M. ^{[2
]}

Soares, P. A., Jr. ^{[3
]}

机构：

[1] DM UFPI, Teresina, Brazil

[2] CMRV UFPI, Parnaiba, Brazil

[3] DM UESPI, Teresina, Brazil

来源：

OPTIMIZATION LETTERS | 2016年 / 10卷 / 06期

关键词：

Equilibrium problem; Hadamard manifold; Convexity; Extragradient method; PROXIMAL POINT METHOD; MONOTONE VECTOR-FIELDS; RIEMANNIAN-MANIFOLDS; VARIATIONAL-INEQUALITIES; ALGORITHM; EXISTENCE;

D O I：

10.1007/s11590-015-0933-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we propose an extragradient algorithm for solving equilibrium problems on Hadamard manifolds to the case where the equilibrium bifunction is not necessarily pseudomonotone. Under mild assumptions, we establish global convergence results. We show that the multiobjective optimization problem satisfies all the hypotheses of our result of convergence, when formulated as an equilibrium problem.

引用

页码：1327 / 1336

页数：10

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