单调变分不等式问题外梯度方法的推广

Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (4): 847-852.

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Extension of Extragradient Method forMonotone Variational Inequality Problems

WEN Daojun^1,2, ZHANG Rong³, HE Guang¹

1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;[JP]
2. Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, China;
3. College of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2019-12-11 Online:2020-07-26 Published:2020-07-16
Contact: WEN Daojun E-mail:daojunwen@163.com

Abstract

Abstract: Using the Armijolike search and strongly positive bounded operator to improve an extragradient method of monotone variational inequality problem. We discussed the feasibility of the Armijolike search in a Hilbert space, and established strong convergence theorems to approximate the solution of monotone variational inequality problem.

Key words: variational inequality, monotone operator, Armijolike search, extragradient method, strong convergence

CLC Number:

O177.91

WEN Daojun, ZHANG Rong, HE Guang. Extension of Extragradient Method forMonotone Variational Inequality Problems[J].Journal of Jilin University Science Edition, 2020, 58(4): 847-852.

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Extension of Extragradient Method forMonotone Variational Inequality Problems

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