Extended Antipodal Theorems |
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Authors: | Viacheslav V Kalashnikov Adolphus J J Talman Lilia Alanís-López Nataliya I Kalashnykova |
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Institution: | 1.Institute of Statistics and Mathematical Methods in Economics,Vienna University of Technology,Vienna,Austria |
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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 behavior. The result obtained in this note extends some recent results in the literature; especially, it gives a positive answer to a question raised in Khanh (Acta Math Vietnam 41:251–263, 2016). |
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