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 S.

Kurzfassung englisch:
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).

Variational inequality, extragradient method, pseudo-monotonicity, weak convergence

Elektronische Version der Publikation:

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