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A predict-correct projection method for monotone variant variational inequalities 被引量：1

A predict-correct projection method for monotone variant variational inequalities
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摘要 A predict_correct projection method is presented for solving monotone variant variational inequalities, which could exploit the advantages and overcome the difficulties of both explicit and implicit projection methods. A predict-correct projection method is presented for solving monotone variant variational inequalities, which could exploit the advantages and overcome the difficulties of both explicit and implicit projection methods.
作者 HAN Qiaoming 1 and HE Bingsheng 2 1. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 2. Department of Mathematics, Nanjing University, Nanjing 210093, China
出处 《Chinese Science Bulletin》 SCIE EI CAS 1998年第15期1264-1267,共4页
基金 theNationalNaturalScienceFoundationofChina (GrantNo .196 710 4 1)
关键词 VARIANT variational inequality explicit PROJECTION METHOD implicit PROJECTION METHOD predict_correct PROJECTION method. variant variational inequality explicit projection method implicit projection method predict-correct projection method
分类号 O178 [理学—基础数学]
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  • 1SIBONY M. Methodes iterative pour les equations et inequations aux derivees partiells non lineares de type monotone[ J]. Calcolo (French). 1970,7( 1 ) :65-183.
  • 2GOLDSTEIN A A. Convex programming in Hilbert space[J].Bulletin of the American Mathematical Society. 1964,70 (5) :709- 710.
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  • 7NOOR M A. Some development in general variational inequalities [ J]. Applied Mathematics and Computation. 2004,152 (2): 199-277.
  • 8CENSOR Y, GIBALI A, REICH S. Extensions of korpelevich' s extragradient method for the variational inequality problem in Eu- clidean space[ J]. Optimization. 2012,61 (9) :1119-1132.
  • 9HE B S,LIAO L Z. Improvement of some projection method for monotone nolinear variational inequalities[ J]. Journal Of Opti- mization Theory And Applications. 2002,112 ( 1 ) : 111-128.
  • 10HAND R, HONG K L. Two new self-adaptive projection methods for variational inequality problems [ J ]. Computers and Mathe- matics with Applications. 2002,43 ( 12 ) : 1529-1537.

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Chinese Science Bulletin
1998年 第15期

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