Modified inertial subgradient extragradient method in reflexive Banach spaces

被引：9

作者：

Ali, Bashir ^{[1
]}

Ugwunnadi, G. C. ^{[2
,5
]}

Lawan, M. S. ^{[1
,3
]}

Khan, A. R. ^{[4
]}

机构：

[1] Bayero Univ, Dept Math Sci, Kano, Nigeria

[2] Univ Eswatini, Dept Math, Private Bag 4, Kwaluseni, Eswatini

[3] Kaduna Polytech, Dept Math & Stat, Kaduna, Nigeria

[4] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94, ZA-0204 Pretoria, South Africa

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2021年 / 27卷 / 01期

关键词：

Bregman distance; Bregman Demigeneralized map; Monotone map; Subgradient extragradient method; Fixed point; SOLVING VARIATIONAL-INEQUALITIES; STRONG-CONVERGENCE;

D O I：

10.1007/s40590-021-00332-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a modified inertial subgradient extragradient algorithm in reflexive Banach spaces and prove a strong convergence theorem for approximating common solutions of a fixed point equation of a demigeneralized mapping and a variational inequality problem of a monotone and Lipschitz mapping. Our result extends and improves important recent results announced by many authors.

引用

页数：26

共 33 条

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