An Iterative method for split equality variational inequality problems for non-Lipschitz pseudomonotone mappings

被引：7

作者：

Kwelegano, Karabo M. T. ^{[1
]}

Zegeye, Habtu ^{[1
]}

Boikanyo, Oganeditse A. ^{[1
]}

机构：

[1] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Pvt Bag 0016, Palapye, Botswana

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2022年 / 71卷 / 01期

关键词：

Monotone mappings; Variational inequality; Pseudomonotone mapping; Strong convergence; Slit equality variational inequality problem; SUBGRADIENT EXTRAGRADIENT METHODS; ALTERNATING PROXIMAL ALGORITHMS; STRONG-CONVERGENCE; HILBERT; PROJECTION; POINTS;

D O I：

10.1007/s12215-021-00608-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce an algorithm for approximating solutions of split equality variational inequality problems. A convergence theorem of the proposed algorithm is established in Hilbert spaces under the assumption that the associated mapping is uniformly continuous, pseudomonotone and sequentially weakly continuous. Finally, we provide several applications of our method and provide a numerical result to demonstrate the behavior of the convergence of the algorithm. Our results extend and generalize some related results in the literature.

引用

页码：325 / 348

页数：24

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