Global weak sharp minima for convex (semi-)infinite optimization problems

Xi Yin Zheng; Xiaoqi Yang

doi:10.1016/j.jmaa.2008.07.052

Global weak sharp minima for convex (semi-)infinite optimization problems

Xi Yin Zheng
, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

4 Citations (Scopus)

Abstract

We mainly consider global weak sharp minima for convex infinite and semi-infinite optimization problems (CIP). In terms of the normal cone, subdifferential and directional derivative, we provide several characterizations for (CIP) to have global weak sharp minimum property.

Original language	English
Pages (from-to)	1021-1028
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	348
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.07.052
Publication status	Published - 15 Dec 2008

Keywords

Infinite optimization
Normal cone
Semi-infinite optimization
Subdifferential
Weak sharp minima

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2008.07.052

Cite this

@article{9fbe1aa23f9646a4a2d57e1ecb5df410,

title = "Global weak sharp minima for convex (semi-)infinite optimization problems",

abstract = "We mainly consider global weak sharp minima for convex infinite and semi-infinite optimization problems (CIP). In terms of the normal cone, subdifferential and directional derivative, we provide several characterizations for (CIP) to have global weak sharp minimum property.",

keywords = "Infinite optimization, Normal cone, Semi-infinite optimization, Subdifferential, Weak sharp minima",

author = "Zheng, \{Xi Yin\} and Xiaoqi Yang",

year = "2008",

month = dec,

day = "15",

doi = "10.1016/j.jmaa.2008.07.052",

language = "English",

volume = "348",

pages = "1021--1028",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

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TY - JOUR

T1 - Global weak sharp minima for convex (semi-)infinite optimization problems

AU - Zheng, Xi Yin

AU - Yang, Xiaoqi

PY - 2008/12/15

Y1 - 2008/12/15

N2 - We mainly consider global weak sharp minima for convex infinite and semi-infinite optimization problems (CIP). In terms of the normal cone, subdifferential and directional derivative, we provide several characterizations for (CIP) to have global weak sharp minimum property.

AB - We mainly consider global weak sharp minima for convex infinite and semi-infinite optimization problems (CIP). In terms of the normal cone, subdifferential and directional derivative, we provide several characterizations for (CIP) to have global weak sharp minimum property.

KW - Infinite optimization

KW - Normal cone

KW - Semi-infinite optimization

KW - Subdifferential

KW - Weak sharp minima

UR - https://www.scopus.com/pages/publications/51449086417

U2 - 10.1016/j.jmaa.2008.07.052

DO - 10.1016/j.jmaa.2008.07.052

M3 - Journal article

SN - 0022-247X

VL - 348

SP - 1021

EP - 1028

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Global weak sharp minima for convex (semi-)infinite optimization problems

Abstract

Keywords

ASJC Scopus subject areas

More information

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