Nonlinear Sharp Minimum and the Stability of a Local Minimum on Metric Spaces

被引：0

作者：

Van Ngai, Huynh ^{[1
]}

Thera, Michel ^{[2
,3
]}

机构：

[1] Univ Quynhon, Dept Math, Qui Nhon, Vietnam

[2] Univ Limoges, Limoges, France

[3] XLIM, Limoges, France

来源：

JOURNAL OF CONVEX ANALYSIS | 2024年 / 31卷 / 04期

关键词：

Stability; slope; tilt stability; perturbations; sensitivity; varitional analysis; LOWER SEMICONTINUOUS FUNCTIONS; ERROR-BOUNDS; TILT STABILITY; QUADRATIC GROWTH; REGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We put the emphasis on nonlinear (weak) sharp minimizers with respect to a gauge function. This concept plays an important role in both theoretical and numerical aspects of optimization. In the last part of the contribution we study the stability (in some appropriate sense) of local/global minimizers of an objective function f perturbed to f + g by a function g belonging to a suitable class of Lipschitz functions defined on metric spaces.

引用

页码：1213 / 1226

页数：14

共 24 条

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