REGULARIZED ALGORITHM FOR THE PROXIMAL SPLIT FEASIBILITY PROBLEMS

被引：0

作者：

Kumar, Ajay ^{[1
]}

Thakur, Balwant Singh ^{[1
]}

Turcanu, Teodor ^{[2
]}

Sharma, Hemant Kumar ^{[3
]}

机构：

[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, CG, India

[2] Natl Univ Sci & Technol Politehn Bucharest, Dept Math & Informat, Bucharest 060042, Romania

[3] DKS PGI&RC, Raipur 492001, India

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2023年 / 85卷 / 04期

关键词：

Strong convergence; proximal Split feasibility problem; Fixed point problem; MAXIMAL MONOTONE-OPERATORS; ITERATIVE ALGORITHMS; CONVERGENCE; PROJECTION; MAPPINGS; SETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to propose a regularized algorithm to find find common solution of proximal split feasibility problem and fixed point problems for the case of convex and nonconvex functions in real Hilbert spaces. The algorithm is motivated by the inertial method and the split proximal algorithm with self adaptive step size such that their implementation does not required any prior information about the operator norm. In addition, we give a numerical example to verify the efficiency and implementation of our scheme.

引用

页码：29 / 46

页数：18

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