Characterization of weakly sharp solutions of a variational-type inequality with convex functional

In this paper, we consider a variational-type inequality and study its weak sharp solutions in terms of a dual gap function, under certain assumptions and convex notion of a functional. Moreover, we aim to constitute the relationship between the minimum principle sufficiency property and weak sharp...

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Bibliographic Details
Published inAnnals of operations research Vol. 269; no. 1-2; pp. 297 - 315
Main Authors Jayswal, Anurag, Singh, Shipra
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2018
Springer
Springer Nature B.V
Subjects
Analysis
Business and Management
Combinatorics
Convex functions
Inequality
Methods
Operations research
Operations Research/Decision Theory
Optimization theory
Raota-2016
Studies
Theory of Computation
Weak sharp solution
Minimum principle sufficiency property
90C33
49J40
49J50
Variational-type inequality
Convex functional
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Summary:In this paper, we consider a variational-type inequality and study its weak sharp solutions in terms of a dual gap function, under certain assumptions and convex notion of a functional. Moreover, we aim to constitute the relationship between the minimum principle sufficiency property and weak sharp solutions of the considered variational-type inequality. A numerical result is also constructed to give a better insight for the main derived result.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2700-3