Local error bounds for infinite convex-composite inequalities in Banach spaces

Mingwu Ye; Sy Ming Guu; Lihui Peng; Xiangmei Wang

Local error bounds for infinite convex-composite inequalities in Banach spaces

Mingwu Ye, Sy Ming Guu, Lihui Peng^*, Xiangmei Wang

^*Corresponding author for this work

Graduate Institute of Mangement

Research output: Contribution to journal › Journal Article › peer-review

Abstract

In this paper, we establish characterizations of the local p-error bound for infinite convex-composite inequality systems on Banach space. As an application, the p-metrical regularity for a family of infinite subsets is provided.

Original language	English
Pages (from-to)	1129-1140
Number of pages	12
Journal	Journal of Nonlinear and Convex Analysis
Volume	18
Issue number	6
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017.

Keywords

Convex-composite inequalities
Local p-error bound
P-metrical regularity

Cite this

@article{1782be57d88f48f7a7f29e581ab2bafb,

title = "Local error bounds for infinite convex-composite inequalities in Banach spaces",

abstract = "In this paper, we establish characterizations of the local p-error bound for infinite convex-composite inequality systems on Banach space. As an application, the p-metrical regularity for a family of infinite subsets is provided.",

keywords = "Convex-composite inequalities, Local p-error bound, P-metrical regularity",

author = "Mingwu Ye and Guu, \{Sy Ming\} and Lihui Peng and Xiangmei Wang",

note = "Publisher Copyright: {\textcopyright} 2017.",

year = "2017",

language = "英语",

volume = "18",

pages = "1129--1140",

journal = "Journal of Nonlinear and Convex Analysis",

issn = "1345-4773",

publisher = "Yokohama Publishers",

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TY - JOUR

T1 - Local error bounds for infinite convex-composite inequalities in Banach spaces

AU - Ye, Mingwu

AU - Guu, Sy Ming

AU - Peng, Lihui

AU - Wang, Xiangmei

PY - 2017

Y1 - 2017

N2 - In this paper, we establish characterizations of the local p-error bound for infinite convex-composite inequality systems on Banach space. As an application, the p-metrical regularity for a family of infinite subsets is provided.

AB - In this paper, we establish characterizations of the local p-error bound for infinite convex-composite inequality systems on Banach space. As an application, the p-metrical regularity for a family of infinite subsets is provided.

KW - Convex-composite inequalities

KW - Local p-error bound

KW - P-metrical regularity

UR - https://www.scopus.com/pages/publications/85026848452

M3 - 文章

AN - SCOPUS:85026848452

SN - 1345-4773

VL - 18

SP - 1129

EP - 1140

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 6

ER -

Local error bounds for infinite convex-composite inequalities in Banach spaces

Abstract

Bibliographical note

Keywords

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