Minimization Problem of Proximal Point Algorithm in Complete CAT(0) Spaces

被引：0

作者：

Moradi, Sirous ^{[1
]}

Tahernia, Mohsen ^{[2
]}

机构：

[1] Lorestan Univ, Fac Sci, Dept Math, Khorramabad 6815144316, Iran

[2] Arak Univ, Fac Sci, Dept Math, Arak 3815688349, Iran

来源：

FILOMAT | 2022年 / 36卷 / 18期

关键词：

RIEMANNIAN-MANIFOLDS; MONOTONE-OPERATORS; FIXED-POINTS; CONVERGENCE; MAPPINGS;

D O I：

10.2298/FIL2218289M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a proximal point algorithm for a convex function is considered in complete CAT(0) spaces. We introduce a necessary and sufficient condition for the set of minimizers of the function to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of minimizers of the function.

引用

页码：6289 / 6298

页数：10

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