Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces

被引：11

作者：

Reich, Simeon ^{[1
]}

Truong Minh Tuyen ^{[2
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 04期

基金：

以色列科学基金会;

关键词：

Hilbert space; Metric projection; Monotone operator; Nonexpansive mapping; Split common null point problem; SHRINKING PROJECTION METHOD; FEASIBILITY PROBLEM; ALGORITHM; SETS; CONVERGENCE;

D O I：

10.1007/s13398-020-00901-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the recently introduced generalized split common null point problem in Hilbert spaces. In order to solve this problem, we propose two new parallel algorithms and establish strong convergence theorems for both of them. Our schemes combine the hybrid and shrinking projection methods with the proximal point algorithm.

引用

页数：16

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