A STRONG CONVERGENCE HALPERN-TYPE INERTIAL ALGORITHM FOR SOLVING SYSTEM OF SPLIT VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS

被引：1
|
作者：
Mebawondu, A. A. [1 ,2 ,5 ]
Jolaoso, L. O. [3 ]
Abass, H. A. [1 ,2 ]
Oyewole, O. K. [1 ,2 ]
Aremu, K. O. [1 ,3 ,4 ]
机构：
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-4001 Durban, South Africa
[2] DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa
[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94 Medunsa, ZA-0204 Pretoria, South Africa
[4] Usmanu Danfodiyo Univ Sokoto, Dept Math, Sokoto, Sokoto State, Nigeria
[5] Mt Top Univ, Dept Math, Prayer City, Ogun Statee, Nigeria
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Generalized system of variational inequality problem; split feasibility problem; inertial iterative scheme; firmly nonexpansive; fixed point problem; APPROXIMATION METHODS; PROJECTION; THEOREMS; SETS; WEAK;
D O I：
10.11948/20200411
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new Halpern-type inertial extrapolation method for approximating common solutions of the system of split variational inequalities for two inverse-strongly monotone operators, the variational inequality problem for monotone operator, and the fixed point of composition of two nonlinear mappings in real Hilbert spaces. We establish that the proposed method converges strongly to an element in the solution set of the aforementioned problems under certain mild conditions. In addition, we present some numerical experiments to show the efficiency and applicability of our method in comparison with some related methods in the literature. This result improves and generalizes many recent results in this direction in the literature.
引用
收藏
页码：2762 / 2791
页数：30
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