STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR THE SPLIT EQUALITY PROBLEM IN BANACH SPACES

被引：0

作者：

Wang, Meiying ^{[1
]}

Xu, Tongxin ^{[2
]}

Shi, Luoyi ^{[3
]}

机构：

[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

[3] Tiangong Univ, Sch Software, Tianjin 300387, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷

关键词：

Bregman distance; Nonexpansive mapping; Self-adaptive method; Split equality 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, based on the Bregman distance, we introduce a self-adaptive method for solving a split equality problem in p-uniformly convex uniformly smooth Banach spaces. The advantage of the proposed algorithm is that the stepsize selection is self-adaptive and no prior estimation of operator norm is required. Under relatively mild conditions, we prove the strong convergence of the proposed algorithm. Finally, numerical examples are provided to verify the convergence of the algorithm.

引用

页数：13

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