A Convergence Theorem of an Implicit Type Iteration in a Geodesic Space

被引：0
|
作者：
Kimura, Yasunori [1 ]
Torii, Kakeru [1 ]
机构：
[1] Toho Univ, Dept Informat Sci, Funabashi, Chiba 2748510, Japan
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2022年 / 43卷 / 05期
关键词：
Fixed point; nonexpansive mapping; implicit type iteration; quadrilateral inequality; geodesic space; Delta-convergence theorem; CAT(1) space;
D O I：
10.1080/01630563.2022.2053156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define a quadrilateral inequality, Browder type and implicit iterative method in a CAT(1) space. Furthermore, we prove a convergence theorem of the implicit iterative method in the same space used the quadrilateral inequality.
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页码：599 / 612
页数：14
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