The Yosida approximation iterative technique for split monotone Yosida variational inclusions

被引：3
|
作者：
Rahaman, Mijanur [1 ]
Ishtyak, Mohd. [1 ]
Ahmad, Rais [1 ]
Ali, Imran [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
NUMERICAL ALGORITHMS | 2019年 / 82卷 / 01期
关键词：
Split monotone Yosida variational inclusions; Yosida operator; Convergence; Demicontractive mapping; Nonexpansive mappings; NONEXPANSIVE-MAPPINGS; CONVERGENCE; PROJECTION; SETS;
D O I：
10.1007/s11075-018-0607-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new type of split monotone Yosida inclusion problem in the setting of infinite-dimensional Hilbert spaces. To calculate the approximate solutions of split monotone Yosida inclusion problem, first we develop a new iterative algorithm and then study the weak as well strong convergence analysis of iterative sequences generated by the proposed iterative algorithm by using demicontractive property, nonexpansive property, and strongly positive bounded linear property of mappings. A numerical example is formulated to explain our main result through MATLAB programming.
引用
收藏
页码：349 / 369
页数：21
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