Mixed vector equilibrium-like problems on Hadamard manifolds: error bound analysis

被引：5

作者：

Hung, Nguyen Van ^{[1
]}

Tam, Vo Minh ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Ho Chi Minh City, Vietnam

[2] Dong Thap Univ, Dept Math, Cao Lanh City, Vietnam

[3] Natl Univ Ireland, Sch Math, Galway, Ireland

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 05期

关键词：

Mixed vector equilibrium-like problem; gap function; error bound; Hadamard manifolds; VARIATIONAL INCLUSION PROBLEMS; PROXIMAL POINT METHOD; GAP FUNCTIONS; DESCENT METHODS; GENERAL SYSTEM; SOLUTION SET; INEQUALITIES; OPTIMIZATION; EXISTENCE; FIELDS;

D O I：

10.1080/00036811.2021.1992393

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and investigate mixed vector equilibrium-like problems (MVEPs) on Hadamard manifolds. Specifically, our aim is to establish error bounds for MVEPs. For this, we propose some regularized gap functions for MVEPs under suitable conditions. Then some error bounds for MVEPs in terms of regularized gap functions are obtained with the hypotheses imposed on the data of MVEPs. Our results in this paper are new and can be considered as a significant generalization of some previously known results in the literature.

引用

页码：1530 / 1546

页数：17

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