AN IMPROVED ALGORITHM BASED ON KORPELEVICH'S METHOD FOR VARIATIONAL INEQUALITIES IN BANACH SPACES

Yao Yonghong; Petrusel Adrian; Qin Xiaolong

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AN IMPROVED ALGORITHM BASED ON KORPELEVICH'S METHOD FOR VARIATIONAL INEQUALITIES IN BANACH SPACES

机译：基于Korpelevich在Banach空间中变分不等式方法的改进算法

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摘要

An improved algorithm based on the Korpelevich's method is presented for solving the generalized variational inequality in Banach spaces. Strong convergence results are given under some assumptions.

机译：提出了一种基于Korpelevich方法的改进算法，用于解决Banach空间中的广义变分不等式。在一些假设下给出了强烈的收敛结果。

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来源
《Journal of nonlinear and convex analysis 》 |2018年第3期| 共10页
作者
Yao Yonghong; Petrusel Adrian; Qin Xiaolong;
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作者单位

Univ Elect Sci &

Technol China Inst Fundamental &

Frontier Sci Chengdu 611731 Sichuan Peoples R China;

Babes Bolyai Univ Cluj Napoca Dept Math Kogalniceanu Str 1 Cluj Napoca 400084 Romania;

Univ Elect Sci &

Technol China Inst Fundamental &

Frontier Sci Chengdu 611731 Sichuan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学 ;
关键词
Variational inequalities; Korpelevich's algorithm; accretive mappings; Banach spaces;

机译：变分不等式;Korpelevich的算法;增量映射;Banach空间;

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专利

1. AN IMPROVED ALGORITHM BASED ON KORPELEVICH'S METHOD FOR VARIATIONAL INEQUALITIES IN BANACH SPACES [J] . Yao Yonghong, Petrusel Adrian, Qin Xiaolong Journal of nonlinear and convex analysis . 2018 ,第3期

机译：基于Korpelevich在Banach空间中变分不等式方法的改进算法
2. Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space [J] . Yair Censora* Aviv Gibalib amp, Simeon Reichb Optimization . 2012 ,第9期

机译：Korpelevich超梯度方法在欧氏空间中变分不等式问题的扩展
3. Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space [J] . Yair Censor, Aviv Gibali, Simeon Reich Optimization: A Journal of Mathematical Programming and Operations Research . 2012 ,第7a9期

机译：Korpelevich超梯度方法在欧氏空间中变分不等式问题的扩展
4. A New Viscosity Cesaro Mean Approximation Method for a General System of Finite Variational Inequalities and Fixed Point Problems in Banach Spaces [C] . Poom Kumam, Somyot Plubtieng, Phayap Katchang International multiconference of engineers and computer scientists . 2014

机译：Banach空间中有限分析不等式的一般系统的新粘度Cesaro平均近似方法
5. A gradient-based methodology for the analysis of stochastic variational inequalities. [D] . Belknap, Margaret H. 2000

机译：基于梯度的方法，用于分析随机变分不等式。
6. Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces [O] . Lu-Chuan Ceng, Yung-Yih Lur, Ching-Feng Wen -1

机译：一致光滑Banach空间中分层变分不等式的隐式和显式迭代算法
7. A Korpelevich-like algorithm for variational inequalities [O] . Zhitao Wu, Yonghong Yao, Yeong-Cheng Liou, 2013

机译：变分不等式的类似于Korpelevich的算法

AN IMPROVED ALGORITHM BASED ON KORPELEVICH'S METHOD FOR VARIATIONAL INEQUALITIES IN BANACH SPACES

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