AN ADAPTIVE BLOCK ITERATIVE PROCESS FOR A CLASS OF MULTIPLE SETS SPLIT VARIATIONAL INEQUALITY PROBLEMS AND COMMON FIXED POINT PROBLEMS IN HILBERT SPACES

被引：2

作者：

Rehman, Habib ur ^{[1
]}

Kumam, Poom ^{[1
]}

Suleiman, Yusuf I. ^{[2
]}

Kumam, Widaya ^{[3
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Sci Lab Bldg,126 Pracha Uthit Rd,Bang Mod,Thung K, Bangkok 10140, Thailand

[2] Kano Univ Sci & Technol, Dept Math, Wudil 713101, Nigeria

[3] Rajamangala Univ Technol Thanyaburi RMUTT, Appl Math Sci & Engn Res Unit AMSERU, Program Appl Stat, Dept Math & Comp Sci,Fac Sci & Technol, Pathum Thani 12110, Thailand

来源：

NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2023年 / 13卷 / 02期

关键词：

Variational Inequality Problems; Halpern Subgradient Extragradient Algorithms; Parallel Self-adaptive Algorithms; Common Fixed Point Problems; Multiple Sets Split Variational Inequality Problems; SUBGRADIENT EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; FEASIBILITY PROBLEM; PROJECTION METHOD; ALGORITHMS;

D O I：

10.3934/naco.2022007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present extension of a class of split variational inequality problem and fixed point problem due to Lohawech et al. (J. Ineq Appl. 358, 2018) to a class of multiple sets split variational inequality problem and common fixed point problem (CMSSVICFP) in Hilbert spaces. Using the Halpern subgradient extragradient theorem of variational inequality problems, we propose a parallel Halpern subgradient extragradient CQ-method with adaptive step-size for solving the CMSSVICFP. We show that a sequence generated by the proposed algorithm converges strongly to the solution of the CMSSVICFP. We give a numerical example and perform some preliminary numerical tests to illustrate the numerical efficiency of our method.

引用

页码：273 / 298

页数：26

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