Parallel iterative methods for solving the common null point problem in Banach spaces

2018 ◽  
Vol 3 (3) ◽  
pp. 606-619
Author(s):  
Truong Minh Tuyen ◽  
Nguyen Minh Trang
Keyword(s):  
Banach Spaces ◽  
Iterative Methods ◽  
Null Point ◽  
Point Problem ◽  
Parallel Iterative Methods ◽  
The Common ◽  
Parallel Iterative

Nonlinear iterative methods for solving the split common null point problem in Banach spaces

2018 ◽  
Vol 34 (4) ◽  
pp. 853-874 ◽  
Author(s):  
Suthep Suantai ◽  
Yekini Shehu ◽  
Prasit Cholamjiak
Keyword(s):  
Banach Spaces ◽  
Iterative Methods ◽  
Null Point ◽  
Point Problem

An iterative algorithm with inertial technique for solving the split common null point problem in Banach spaces

2021 ◽  
pp. 2250120
Author(s):  
Yan Tang ◽  
Pongsakorn Sunthrayuth
Keyword(s):  
Banach Spaces ◽  
Split Feasibility Problem ◽  
Null Point ◽  
Feasibility Problem ◽  
Strong Convergence Theorem ◽  
Point Problem ◽  
Inertial Algorithm ◽  
The Split Feasibility Problem ◽  
Inertial Technique ◽  
Split Feasibility

In this work, we introduce a modified inertial algorithm for solving the split common null point problem without the prior knowledge of the operator norms in Banach spaces. The strong convergence theorem of our method is proved under suitable assumptions. We apply our result to the split feasibility problem, split equilibrium problem and split minimization problem. Finally, we provide some numerical experiments including compressed sensing to illustrate the performances of the proposed method. The result presented in this paper improves and generalizes many recent important results in the literature.

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