Inertial projection and contraction algorithms for variational inequalities

• Published in: Journal of global optimization Vol. 70; no. 3; pp. 687 - 704
• Main Authors: Dong, Q. L., Cho, Y. J., Zhong, L. L., Rassias, Th. M.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2018; Springer; Springer Nature B.V
• Subjects: Algorithms; Computer Science; Fixed points (mathematics); Hilbert space; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Portfolio management; Projection; Real Functions; Signal processing; 49J35; Projection and contraction algorithm; Extragradient algorithm; Inertial type algorithm; Variational inequality; 90C47

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...