Publications in Scientific Journals:
V. Phan:
"On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities";
Research Reports (Vienna University of Technology, Institute of Statistics and Mathematical Methods in Economics, Operations Research and Control Systems),
2018-02
(2018),
2;
12 pages.
English abstract:
In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is considered to illustrate the convergent behaviour. The result obtained in this note extends some recent results in the literature; especially, it gives a positive answer to a question raised in Acta. Math. Vietnam, 41, 251-263 (2016).
Keywords:
Variational inequality, extragradient method, pseudo-monotonicity, weak convergence
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_272766.pdf
Created from the Publication Database of the Vienna University of Technology.