Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces

被引：0

作者：

Kimura, Yasunori ^{[1
]}

Shindo, Keisuke ^{[1
]}

机构：

[1] Toho Univ, Dept Informat Sci, Funabashi, Chiba 2748510, Japan

来源：

DEMONSTRATIO MATHEMATICA | 2023年 / 56卷 / 01期

关键词：

asymptotic behavior; geodesic space; convex function; resolvent; STRONG-CONVERGENCE; MONOTONE-OPERATORS; THEOREMS;

D O I：

10.1515/dema-2022-0187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we discuss equilibrium problems and their resolvents on complete geodesic spaces. In particular, we consider asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space whose curvature is bounded above. Furthermore, we apply these results to resolvents of convex functions.

引用

页数：14

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