Proximal point approach for solving convex minimization problems in positive curvature

被引：0

作者：

Kitkuan, Duangkamon ^{[1
]}

Padcharoen, Anantachai ^{[1
]}

Calderon, Kenyi ^{[2
]}

Martinez-Moreno, Juan ^{[3
]}

机构：

[1] Rambhai Barni Rajabhat Univ, Fac Sci & Technol, Chanthaburi 22000, Thailand

[2] Univ Ciencias Aplicadas & Ambientales, Dept Ciencias Exactas Nat & Fis, Bogota, Colombia

[3] Univ Jaen, Dept Matemat, Jaen, Spain

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2024年 / 40卷 / 02期

关键词：

Proximal mapping technique; approximation method; convex minimization; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; CONVERGENCE;

D O I：

10.37193/CJM.2024.02.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, we offer a new proximal point technique for approximating a common member of the set of all solutions of the convex minimization problems in the setting of CAT(1) spaces. We further show that, in some modest circumstances, the resulting process is convergent. Our results extend and enhance other related results in the literature.

引用

页码：333 / 342

页数：10

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