SPLIT FIXED POINT PROBLEMS FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES

被引：0

作者：

Sharma, Shagun ^{[1
]}

Chandok, Sumit ^{[1
]}

机构：

[1] Thapar Inst Engn & Technol, Dept Math, Patiala 147004, India

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2024年 / 86卷 / 01期

关键词：

best proximity point; fixed point; Hilbert space; quasi-nonexpansive mappings; PROXIMITY POINTS; CONVERGENCE; THEOREMS;

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 an algorithm that converges to a solution of the split fixed point problem under some conditions. We apply our main results for solv-ing the split best proximity point problem. The main results of Suantai and Tiammee [J. Nonlinear Convex Anal. 22(2021) 2661-2670] related to the study of convergence of best proximity points for best proximally nonexpansive non-self mappings can be directly concluded from the convergence results of fixed points for quasi-nonexpansive self mappings. Therefore, these findings are not real generalizations. Furthermore, we apply our results to the common best proximity point problem in real Hilbert spaces. Finally, we give numerical results to demonstrate its convergence.

引用

页码：109 / 118

页数：10

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