The iterative solutions of split common fixed point problem for asymptotically nonexpansive mappings in Banach spaces

被引：0

作者：

Wang Y. ^{[1
]}

Wu X. ^{[1
]}

Pan C. ^{[1
]}

机构：

[1] Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang

来源：

Fixed Point Theory and Applications | / 2020卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Asymptotically nonexpansive mapping; Split common fixed point; Strong convergence; Variational inequality;

D O I：

10.1186/s13663-020-00686-w

中图分类号：

学科分类号：

摘要：

In this paper, we propose an iteration algorithm for finding a split common fixed point of an asymptotically nonexpansive mapping in the frameworks of two real Banach spaces. Under some suitable conditions imposed on the sequences of parameters, some strong convergence theorems are proved, which also solve some variational inequalities that are closely related to optimization problems. The results here generalize and improve the main results of other authors. © 2020, The Author(s).

引用

共 23 条

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