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A Modified Extragradient Method for Infinite-Dimensional Variational Inequalities

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Abstract

A modified form of the extragradient method for solving infinite-dimensional variational inequalities is considered. The weak convergence and the strong convergence for the iterative sequence generated by this method are studied. We also propose several examples to analyze the obtained results.

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Acknowledgments

The guidance of Prof. N. D. Yen and Dr. T. C. Dieu is gratefully acknowledged. The author would like to thank the two anonymous referees for valuable remarks and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Ho Chi Minh City University of Pedagogy, 280 An Duong Vuong, Ho Chi Minh, Vietnam

    Pham Duy Khanh

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  1. Pham Duy Khanh
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Correspondence to Pham Duy Khanh.

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The author is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.01-2014.56.

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Khanh, P.D. A Modified Extragradient Method for Infinite-Dimensional Variational Inequalities. Acta Math Vietnam 41, 251–263 (2016). https://doi.org/10.1007/s40306-015-0150-z

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  • DOI: https://doi.org/10.1007/s40306-015-0150-z

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