GAP FUNCTIONS AND DESCENT METHODS FOR EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

被引：0

作者：

Li, Xiao-Bo ^{[1
]}

Zhou, Li-Wen ^{[1
]}

Huang, Nan-Jing ^{[2
]}

机构：

[1] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hadamard manifold; equilibrium problem; gap function; exact descent method; inexact descent method; MONOTONE VECTOR-FIELDS; PROXIMAL POINT ALGORITHM; VARIATIONAL-INEQUALITIES; RIEMANNIAN-MANIFOLDS; EXISTENCE; CONVEXITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some gap functions for equilibrium problems on Hadamard manifolds are introduced. By using these gap functions, exact and inexact descent methods are proposed on Hadamard manifolds. Moreover, the full convergence of these methods to the solutions of equilibrium problems is proved under some assumptions.

引用

页码：807 / 826

页数：20

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