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An algorithm for the split-feasibility problems with application to the split-equality problem [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new ...
Chih-Sheng Chuang, Chi-Ming Chen
doaj   +6 more sources

Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem [PDF]

open access: yesJournal of Inequalities and Applications, 2017
This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces.
Ying Zhao, Luoyi Shi
doaj   +4 more sources

Hybrid simultaneous algorithms for the split equality problem with applications

open access: yesJournal of Inequalities and Applications, 2016
The split equality problem has board applications in many areas of applied mathematics. Many researchers studied this problem and proposed various algorithms to solve it.
Chih-Sheng Chuang, Wei-Shih Du
doaj   +4 more sources

An Iterative Algorithm for the Split Equality and Multiple-Sets Split Equality Problem [PDF]

open access: yesAbstract and Applied Analysis, 2014
The multiple-sets split equality problem (MSSEP) requires finding a point x∈∩i=1NCi, y∈∩j=1MQj such that Ax=By, where N and M are positive integers, {C1,C2,…,CN} and {Q1,Q2,…,QM} are closed convex subsets of Hilbert spaces H1, H2,
Luoyi Shi, Ru Dong Chen, Yu Jing Wu
doaj   +6 more sources

An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem [PDF]

open access: yesAdvances in Difference Equations, 2021
This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
doaj   +2 more sources

Relaxed alternating CQ algorithms for the split equality problem in Hilbert spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we are concerned with the split equality problem (SEP) in Hilbert spaces. By converting it to a coupled fixed-point equation, we propose a new algorithm for solving the SEP.
Hai Yu, Fenghui Wang
doaj   +2 more sources

Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem

open access: yesJournal of Function Spaces, 2020
In this article, we study the extended split equality problem and extended split equality fixed point problem, which are extensions of the convex feasibility problem.
Meixia Li, Xueling Zhou, Wenchao Wang
doaj   +3 more sources

Linear Convergence of Split Equality Common Null Point Problem with Application to Optimization Problem

open access: yesMathematics, 2020
The purpose of this paper is to propose an iterative algorithm for solving the split equality common null point problem (SECNP), which is to find an element of the set of common zero points for a finite family of maximal monotone operators in Hilbert ...
Yaqian Jiang, Rudong Chen, Luoyi Shi
doaj   +3 more sources

On split equality fixed-point problems

open access: yesAlexandria Engineering Journal, 2023
In this present work, we study new algorithms to solve the split equality fixed-point problems for total quasi-asymptotically nonexpansive mappings in Hilbert spaces.
L.B. Mohammed, A. Kılıçman, A.U Saje
doaj   +2 more sources

Gradient Methods with Selection Technique for the Multiple-Sets Split Equality Problem

open access: yesMathematics, 2019
The inverse problem is one of the four major problems in computational mathematics. There is an inverse problem in medical image reconstruction and radiotherapy that is called the multiple-sets split equality problem.
Dianlu Tian, Lining Jiang, Luoyi Shi
doaj   +3 more sources

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