Inertial projection and contraction algorithms for variational inequalities

Q. L. Dong (), Y. J. Cho (), L. L. Zhong () and Th. M. Rassias ()
Additional contact information
Q. L. Dong: Civil Aviation University of China
Y. J. Cho: Gyeongsang National University
L. L. Zhong: Civil Aviation University of China
Th. M. Rassias: National Technical University of Athens

Journal of Global Optimization, 2018, vol. 70, issue 3, No 9, 687-704

Abstract: Abstract In this article, we introduce an inertial projection and contraction algorithm by combining inertial type algorithms with the projection and contraction algorithm for solving a variational inequality in a Hilbert space H. In addition, we propose a modified version of our algorithm to find a common element of the set of solutions of a variational inequality and the set of fixed points of a nonexpansive mapping in H. We establish weak convergence theorems for both proposed algorithms. Finally, we give the numerical experiments to show the efficiency and advantage of the inertial projection and contraction algorithm.

Keywords: Inertial type algorithm; Extragradient algorithm; Variational inequality; Projection and contraction algorithm; 90C47; 49J35 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (20)

Downloads: (external link)
http://link.springer.com/10.1007/s10898-017-0506-0 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:jglopt:v:70:y:2018:i:3:d:10.1007_s10898-017-0506-0

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-017-0506-0

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

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