A subgradient extragradient method for equilibrium problems on Hadamard manifolds

被引：4

作者：

Ali-Akbari, Mandi ^{[1
]}

机构：

[1] Univ Torbat Heydarieh, Dept Comp Engn, Torbat Heydarieh, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 01期

关键词：

Equilibrium problem; Hadamard manifold; Subgradient extragradient algorithm; PROXIMAL POINT ALGORITHM; MONOTONE VECTOR-FIELDS; CONVERGENCE ANALYSIS;

D O I：

10.22075/ijnaa.2020.20984.2220

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is generalized the subgradient extragradient algorithm from linear spaces to nonlinear cases. This algorithm introduces a method for solving equilibrium problems on Hadamard manifolds. The global convergence of the algorithm is presented for pseudomonotone and Lipschitz-type continuous bifunctions.

引用

页码：75 / 84

页数：10

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