Weak Sharp Solutions for Nonsmooth Variational Inequalities

Suliman Al-Homidan (), Qamrul Hasan Ansari () and Luong Nguyen ()
Additional contact information
Suliman Al-Homidan: King Fahd University of Petroleum and Minerals
Qamrul Hasan Ansari: King Fahd University of Petroleum and Minerals
Luong Nguyen: Hong Duc University

Journal of Optimization Theory and Applications, 2017, vol. 175, issue 3, No 4, 683-701

Abstract: Abstract In this paper, we study the weak sharp solutions for nonsmooth variational inequalities and give a characterization in terms of error bound. Some characterizations of solution set of nonsmooth variational inequalities are presented. Under certain conditions, we prove that the sequence generated by an algorithm for finding a solution of nonsmooth variational inequalities terminates after a finite number of iterates provided that the solutions set of a nonsmooth variational inequality is weakly sharp. We also study the finite termination property of the gradient projection method for solving nonsmooth variational inequalities under weak sharpness of the solution set.

Keywords: Nonsmooth variational inequalities; Weak sharp solutions; Finite termination property; Pseudomonotone operators; 49J40; 65K10; 90C33; 65K15; 47J20; 49J52 (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-017-1181-5 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:joptap:v:175:y:2017:i:3:d:10.1007_s10957-017-1181-5

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-017-1181-5

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().