AN EXTRAGRADIENT METHOD FOR VECTOR EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

被引：11

作者：

Iusem, Alfredo N. ^{[1
]}

Mohebbi, Vahid ^{[2
]}

机构：

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

[2] Univ Texas El Paso, Dept Pharmaceut Sci, 500 W Univ Ave, El Paso, TX 79968 USA

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 03期

关键词：

Extragradient method; Hadamard manifold; Linesearch; Vector equilibrium problem; Vector valued bifunction; GENERALIZED MONOTONE BIFUNCTIONS; PROXIMAL POINT ALGORITHM; VARIATIONAL-INEQUALITIES; OPTIMIZATION; EXISTENCE;

D O I：

10.23952/jnva.5.2021.3.09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the vector equilibrium problem in Hadamard manifolds, which extends the scalar equilibrium problem to vector valued bifunctions. We propose an extragradient method for solving this problem. Under suitable assumptions on the bifunction, we prove that the generated sequence converges to a solution of the problem. We also give some examples of Hadamard manifolds and vector equilibrium problems to which our main result can be applied. Finally, we present some numerical experiments.

引用

页码：459 / 476

页数：18

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