A Strong Convergence Theorem for a Parallel Iterative Method for Solving the Split Common Null Point Problem in Hilbert Spaces

被引:0
作者
Truong Minh Tuyen
Nguyen Thi Thu Thuy
Nguyen Minh Trang
机构
[1] Thai Nguyen University of Science,School of Applied Mathematics and Informatics
[2] Hanoi University of Science and Technology,Faculty of International Training
[3] Thainguyen University of Technology,undefined
来源
Journal of Optimization Theory and Applications | 2019年 / 183卷
关键词
Split common null point problem; Monotone operator; Metric projection; Nonexpansive mapping; 47H05; 47H09; 49J53; 90C25;
D O I
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中图分类号
学科分类号
摘要
There are many iterative methods for solving the split common null point problems involving step sizes that depend on the norm of a bounded linear operator T. We know that the implementation of such algorithms is usually difficult to handle, because we have to compute the norm of the operator T. So, we propose new iterative methods involving a step size selected in such a way that its implementation does not require the computation or estimation of the norm of the operator T. In this paper, a new parallel iterative method for solving the split common null point problem is introduced in Hilbert spaces, without prior knowledge of operator norms. Moreover, some applications of our main results to the multiple-set split feasibility problem and the split minimum point problem are also presented.
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页码:271 / 291
页数:20
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