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Mathematics 2019, 7(2), 111; https://doi.org/10.3390/math7020111

Extension of Extragradient Techniques for Variational Inequalities

1,2,3,*
,
1
,
1
and
2,3
1
School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
2
The Key Laboratory of Intelligent Information and Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China
3
Health Big Data Research Institute of North Minzu University, Yinchuan 750021, China
*
Author to whom correspondence should be addressed.
Received: 4 December 2018 / Revised: 15 January 2019 / Accepted: 18 January 2019 / Published: 22 January 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
Full-Text   |   PDF [264 KB, uploaded 30 January 2019]

Abstract

An extragradient type method for finding the common solutions of two variational inequalities has been proposed. The convergence result of the algorithm is given under mild conditions on the algorithm parameters. View Full-Text
Keywords: variational inequality; extragradient-type method; inverse-strongly-monotone; projection; strong convergence variational inequality; extragradient-type method; inverse-strongly-monotone; projection; strong convergence
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Yao, Y.; Wang, K.; Qin, X.; Zhu, L.-J. Extension of Extragradient Techniques for Variational Inequalities. Mathematics 2019, 7, 111.

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