Dual and generalized dual cones in Banach spaces

被引：0

作者：

Khan, Akhtar A. ^{[1
]}

Kong, Dezhou ^{[2
]}

Li, Jinlu ^{[3
]}

机构：

[1] Rochester Inst Technol, Sch Math & Stat, Rochester, NY 14623 USA

[2] Shandong Agr Univ, Coll Informat Sci & Engn, Tai An, Shandong, Peoples R China

[3] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA

来源：

OPTIMIZATION LETTERS | 2025年 / 19卷 / 02期

关键词：

Generalized projection; Metric projection; Dual cones; Faces and visions in Banach spaces; VARIATIONAL-INEQUALITIES; PROJECTION OPERATOR; METRIC PROJECTIONS; DIFFERENTIABILITY; CONTINUITY;

D O I：

10.1007/s11590-024-02126-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper proposes and analyzes the notion of dual cones associated with the metric projection and generalized projection in Banach spaces. We show that the dual cones, related to the metric projection and generalized metric projection, lose many important properties in transitioning from Hilbert spaces to Banach spaces. We also propose and analyze the notions of faces and visions in Banach spaces and relate them to metric projection and generalized projection. We provide many illustrative examples to give insight into the given results

引用

页码：389 / 412

页数：24

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