On Variational Inequality and Fixed Point Problems

On Variational Inequality and Fixed Point Problems

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摘要在这份报纸，为 nonexpansive mappings 和放松的 cocoercive mappings 的一个有限家庭的一条强壮的集中定理基于在 Hilbert 空格的框架的一个反复的方法被建立。 In this paper,A strong convergence theorem for a finite family of nonexpansive mappings and relaxed cocoercive mappings based on an iterative method in the framework of Hilbert spaces is established.

作者 LU Ai-xia WANG Qing-ling

机构地区 Department of Mathematics and Information Sciences Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期208-212,共5页 数学季刊（英文版）

关键词收缩固定的点印射的 nonexpansive 变化不平等 contraction fixed point nonexpansive mapping variational inequality

分类号 O177.91 [理学—基础数学]

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1ATSUSHIBA S, TAKAHASHI W. Strong convergence theorems for a finite family of nonexpansive mappings and applications[J]. Indian J Math, 1999, 41: 435-453.
2QIN Xiao-long, CHO Y J, KANG S M. Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces[J]. J Comput Appl Math, 2009, 225: 20-30.
3HDUKA H, TAKAHASHI W: Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings[J]. Nonlinear Anal, 2005, 61: 341-350.
4ZHANG Shi-sheng, JOSEPH Lee H W, CHAN C K. A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization[J]. Nonlinear Anal, 2009: 3307-3319.
5SUZUKI T. Strong convergence of krasnoselskii and manns type sequences for one-parameter nonexpansive semigroups without bochner integrals[J]. J Math Anal Appl, 2005, 305: 227-239.
6XU Hong-kun. Iterative algorithms for nonlinear operators[J]. J London Math Soe, 2002, 66: 240-256.

1丁方允,张欣,丁睿.BOUNDARY MIXED VARIATIONAL INEQUALITYIN FRICTION PROBLEM[J].Applied Mathematics and Mechanics(English Edition),1999,20(2):213-224. 被引量：1
2Li Juan ZHANG,Hui TONG.Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems[J].Acta Mathematica Sinica,English Series,2012,28(3):631-636.
3Jinliang Shen,Jianhua Huang.HYBRID ITERATION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J].Annals of Applied Mathematics,2017,33(1):18-31. 被引量：1
4Su MENG-LONG,LU XIAN-RUI,MA YONG.A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets[J].Communications in Mathematical Research,2009,25(2):137-142.
5Javad BALOOEE.Iterative Algorithm with Mixed Errors for Solving a New System of Generalized Nonlinear Variational-Like Inclusions and Fixed Point Problems in Banach Spaces[J].Chinese Annals of Mathematics,Series B,2013,34(4):593-622.
6Li WEI,Rui Lin TAN,Hai Yun ZHOU.A Weak Convergence Theorem for Equilibrium Problems,Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces[J].Journal of Mathematical Research and Exposition,2011,31(3):551-561.
7Ruo Feng RAO.Iterative Algorithms of Common Solutions for Quasi-Variational Inclusion and Fixed Point Problems[J].Journal of Mathematical Research and Exposition,2010,30(4):701-715. 被引量：2
8Xing-hui GAO,Hai-yun ZHOU.Strong Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems in Banach Spaces[J].Acta Mathematicae Applicatae Sinica,2012,28(2):337-350. 被引量：8
9Yuan Li,Kai-tai Li.Uzawa Iteration Method for Stokes Type Variational Inequality of the Second Kind[J].Acta Mathematicae Applicatae Sinica,2011,27(2):303-316. 被引量：3
10张石生,李向荣,陈志坚.Algorithms of common solutions to quasi variational inclusion and fixed point problems[J].Applied Mathematics and Mechanics(English Edition),2008,29(5):571-581. 被引量：2

Chinese Quarterly Journal of Mathematics

2011年第2期

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On Variational Inequality and Fixed Point Problems

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