Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities

M. Alshahrani; S. Al-Homidan; Q. H. Ansari

doi:10.1007/s11590-015-0906-3

Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities

M. Alshahrani, S. Al-Homidan, Q. H. Ansari^*

^*Corresponding author for this work

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

13 Scopus citations

Abstract

This paper deals with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities (in short, NVI) by using gap functions. Several characterizations of these two sufficiency properties are provided. We also discuss the error bound for nonsmooth variational inequalities. Two open questions are given at the end.

Original language	English
Pages (from-to)	805-819
Number of pages	15
Journal	Optimization Letters
Volume	10
Issue number	4
DOIs	https://doi.org/10.1007/s11590-015-0906-3
State	Published - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

Keywords

Gap functions
Maximum principle sufficiency property
Minimum principle sufficiency property
Nonsmooth variational inequalities

ASJC Scopus subject areas

Control and Optimization

Access to Document

10.1007/s11590-015-0906-3

Cite this

@article{1dd056b382134a928cf07428687d455c,

title = "Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities",

abstract = "This paper deals with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities (in short, NVI) by using gap functions. Several characterizations of these two sufficiency properties are provided. We also discuss the error bound for nonsmooth variational inequalities. Two open questions are given at the end.",

keywords = "Gap functions, Maximum principle sufficiency property, Minimum principle sufficiency property, Nonsmooth variational inequalities",

author = "M. Alshahrani and S. Al-Homidan and Ansari, \{Q. H.\}",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = apr,

day = "1",

doi = "10.1007/s11590-015-0906-3",

language = "English",

volume = "10",

pages = "805--819",

journal = "Optimization Letters",

issn = "1862-4472",

publisher = "Springer Verlag",

number = "4",

}

TY - JOUR

T1 - Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities

AU - Alshahrani, M.

AU - Al-Homidan, S.

AU - Ansari, Q. H.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - This paper deals with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities (in short, NVI) by using gap functions. Several characterizations of these two sufficiency properties are provided. We also discuss the error bound for nonsmooth variational inequalities. Two open questions are given at the end.

AB - This paper deals with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities (in short, NVI) by using gap functions. Several characterizations of these two sufficiency properties are provided. We also discuss the error bound for nonsmooth variational inequalities. Two open questions are given at the end.

KW - Gap functions

KW - Maximum principle sufficiency property

KW - Minimum principle sufficiency property

KW - Nonsmooth variational inequalities

UR - https://www.scopus.com/pages/publications/84930260709

U2 - 10.1007/s11590-015-0906-3

DO - 10.1007/s11590-015-0906-3

M3 - Article

AN - SCOPUS:84930260709

SN - 1862-4472

VL - 10

SP - 805

EP - 819

JO - Optimization Letters

JF - Optimization Letters

IS - 4

ER -

Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this