An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces

被引：0
|
作者：
Belay, Yirga A. [1 ,2 ]
Zegeye, Habtu [1 ]
Boikanyo, Oganeditse A. [1 ]
Gidey, Hagos H. [1 ]
Kagiso, Dintle [1 ]
机构：
[1] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Pvt Bag 0016, Palapye, Botswana
[2] Aksum Univ, Dept Math, POB 1010, Axum, Ethiopia
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 05期
关键词：
Banach spaces; Bregman distance; Minty variational inequality; Quasimonotone mapping; Split equality; Strong convergence; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; ASYMPTOTIC-BEHAVIOR; SEMIGROUPS; ALGORITHM; OPERATORS;
D O I：
10.1007/s12215-024-01025-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the split equality Minty variational inequality problem in reflexive real Banach spaces. Then we construct a single projection inertial algorithm for solving the introduced problem. We establish a strong convergence result with the assumption that the mappings under consideration are Lipschitz continuous and quasimonotone. We give some specific applications of the main result and finally provide a numerical example to demonstrate the workability of our method.
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页码：2037 / 2067
页数：31
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