Error Bounds of Regularized Gap Functions for Polynomial Variational Inequalities

Bui Dinh () and Tien-Son Pham ()
Additional contact information
Bui Dinh: Le Quy Don Technical University
Tien-Son Pham: Dalat University

Journal of Optimization Theory and Applications, 2022, vol. 192, issue 1, No 9, 226-247

Abstract: Abstract This paper is devoted to presenting new error bounds of regularized gap functions for polynomial variational inequalities with exponents explicitly determined by the dimension of the underlying space and the number/degree of the involved polynomials. The main techniques are based on semialgebraic geometry and variational analysis, which allow us to establish a nonsmooth extension of the seminal Łojasiewicz gradient inequality to regularized gap functions with explicitly calculated exponents.

Keywords: Variational inequality; Regularized gap function; Error bound; Łojasiewicz inequality; Polynomial; 90C26; 65H10; 90C26; 90C31; 26C05 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-021-01960-6 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:192:y:2022:i:1:d:10.1007_s10957-021-01960-6

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

DOI: 10.1007/s10957-021-01960-6

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 ().