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

共 50 条

[1] A Regularized Algorithm for the Proximal Split Feasibility Problem
Yao, Zhangsong
Cho, Sun Young
Kang, Shin Min
Zhu, Li-Jun
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[2] A shrinking projection algorithm for proximal split feasibility and fixed point problems
Chen, Jinzuo
[J]. Applied Set-Valued Analysis and Optimization, 2020, 2 (02): : 255 - 270
[3] ON SOLVING PROXIMAL SPLIT FEASIBILITY PROBLEMS AND APPLICATIONS
Witthayarat, Uamporn
Cho, Yeol Je
Cholamjiak, Prasit
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2018, 9 (01): : 111 - 122
[4] Alternating proximal penalization algorithm for the modified multiple-sets split feasibility problems
Wang, Xueyong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[5] Alternating proximal penalization algorithm for the modified multiple-sets split feasibility problems
Xueyong Wang
[J]. Journal of Inequalities and Applications, 2018
[6] Iterative Methods for Solving the Proximal Split Feasibility Problems
Mamat, Manatsawin
Suparatulatorn, Raweerote
Cholamjiak, Prasit
[J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (02): : 325 - 336
[7] An Iterative Approach to the Solutions of Proximal Split Feasibility Problems
Zhu, Li-Jun
Yao, Yonghong
[J]. MATHEMATICS, 2019, 7 (02)
[8] CONSTRUCTIVE APPROXIMATION OF SOLUTIONS TO PROXIMAL SPLIT FEASIBILITY PROBLEMS
Yao, Yonghong
Qin, Xiaolong
Yao, Jen-Chih
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (12) : 2165 - 2175
[9] Iterative approximation of solutions for proximal split feasibility problems
Yekini Shehu
Gang Cai
Olaniyi S Iyiola
[J]. Fixed Point Theory and Applications, 2015
[10] Nonlinear iteration method for proximal split feasibility problems
Shehu, Yekini
Iyiola, Olaniyi S.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (02) : 781 - 802

← 1 2 3 4 5 →