Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

被引：0

作者：

Ezugorie, Ikechukwu Godwin ^{[1
]}

Ugwunnadi, Godwin Chidi ^{[2
,4
]}

Ofoedu, Eric Uwadiegwu ^{[3
]}

Aphane, Maggie ^{[4
]}

机构：

[1] Enugu State Univ Sci & Technol, Dept Math, Enugu, Nigeria

[2] Univ Eswatini, Dept Math, Private 4,Kwaluseni M201, Kwaluseni, Eswatini

[3] Nnamdi Azikiwe Univ, Dept Math, Awka, Nigeria

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

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

variational inclusion problem; monotone and inverse mappings; Banach spaces; strong convergence; STRONG-CONVERGENCE; ITERATIVE METHOD; ALGORITHM; SUM; ZERO;

D O I：

10.28924/2291-8639-22-2024-210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study accelerated Halpern-type iterative method for finding zero solution of sum of two monotone operators which solves variational inequality problem of inverse strongly monotone mapping in 2-uniformly convex and uniformly smooth real Banach spaces. The strong convergence of our proposed method is establish under some standard conditions imposed on parameters. Our theorems generalize many recently announced results in the literature.

引用

页数：19

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