Convergence analysis of the extragradient method for equilibrium problems in Hadamard spaces

被引：7

作者：

Iusem, Alfredo N. ^{[1
]}

Mohebbi, Vahid ^{[1
]}

机构：

[1] Inst Matematica Pura & Aplicada, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 02期

关键词：

Armijo-type search; Equilibrium problem; Extragradient method; Halpern regularization; Lipschitz continuous; Pseudo-monotone bifunction; GENERALIZED MONOTONE BIFUNCTIONS; VARIATIONAL INEQUALITY PROBLEMS; PROXIMAL POINT ALGORITHM; KORPELEVICHS METHOD; CURVATURE;

D O I：

10.1007/s40314-020-1076-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an extragradient method for solving equilibrium problems of pseudo-monotone type in Hadamard spaces. We prove Delta-convergence of the generated sequence to a solution of the equilibrium problem, under standard assumptions on the bifunction. Then, we propose a regularization procedure which ensures strong convergence of the generated sequence to an equilibrium point of the problem.

引用

页数：21

共 44 条

[1] MINIMIZATION OF FUNCTIONS HAVING LIPSCHITZ CONTINUOUS FIRST PARTIAL DERIVATIVES [J].