Viscosity approximation method for solving variational inequality problem in real Banach spaces

被引：0

作者：

Ugwunnadi, G. C. ^{[1
,2
]}

机构：

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

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

来源：

ARMENIAN JOURNAL OF MATHEMATICS | 2021年 / 13卷 / 03期

关键词：

Fixed Point; Hierarchical Fixed Point Problems; Strongly Accretive Mapping; Lipschitzian Mapping; Nonexpansive Mapping; MAXIMAL MONOTONE-OPERATORS; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; ITERATIVE ALGORITHMS; ACCRETIVE-OPERATORS; WEAK-CONVERGENCE; ZERO POINTS; CONVEX;

D O I：

10.52737/18291163-2021.13.3-1-20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the implicit and inertial-type viscosity approximation method for approximating a solution to the hierarchical variational inequality problem. Under some mild conditions on the parameters, we prove that the sequence generated by the proposed methods converges strongly to a solution of the above-mentioned problem in q-uniformly smooth Banach spaces. The results obtained in this paper generalize and improve many recent results in this direction.

引用

页码：1 / 20

页数：20

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