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

Anurag Jayswal () and Shipra Singh ()
Additional contact information
Anurag Jayswal: Indian Institute of Technology (Indian School of Mines)
Shipra Singh: Indian Institute of Technology (Indian School of Mines)

Annals of Operations Research, 2018, vol. 269, issue 1, No 16, 297-315

Abstract: Abstract 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.

Keywords: Weak sharp solution; Variational-type inequality; Convex functional; Minimum principle sufficiency property; 90C33; 49J40; 49J50 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10479-017-2700-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:269:y:2018:i:1:d:10.1007_s10479-017-2700-3

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-017-2700-3

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().