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.

引用

页码：599 / 612

页数：14

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