A GENERAL ITERATIVE ALGORITHM FOR SPLIT VARIATIONAL INCLUSION PROBLEMS AND FIXED POINT PROBLEMS OF A PSEUDOCONTRACTIVE MAPPING

被引：0
|
作者：
Jung, Jong Soo [1 ]
机构：
[1] Dong A Univ, Dept Math, Busan 49315, South Korea
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷
基金：
新加坡国家研究基金会;
关键词：
Continuous pseudocontractive mapping; Fixed point problem; Maximal monotone operator; Minimum-norm point; Split variational inclusion problem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of split variational inclusion problems and the fixed point set of a continuous pseudocontractive mapping. We establish strong convergence of the proposed iterative algorithm in a Hilbert space. We also find the minimum-norm element in the common set of two sets.
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页数：19
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