基于A-极大单调算子的三步迭代算法  

Three-Step Iteration about A-maximal Monotone Framework

作　　者：杨雪[1] 陈汉军[1] 苏永福[1] 

机构地区：[1]天津工业大学理学院数学系,天津300160

出　　处：《应用泛函分析学报》2009年第3期274-276,共3页Acta Analysis Functionalis Applicata

摘　　要：介绍了用三步迭代算法求解A-极大单调算子的不动点问题和用预解算子研究包含问题的解.同时给出了在某些条件下,三步迭代算法的收敛性.该文中的结论是在Noor,Huang的算法及Ram U.Verma的背景下启发得到.We suggest and analyze three-step iterations for finding the common element of the set of fixed points of a A-maximal monotone mapping and the set of the solutions of the inclusion problem using the resolvent operator technique.We also study the convergence criteria of the three-step iterative method under some mild conditions.Our result is illumined from the algorithm of Noor,Huang,and the background of Ram U.Verma.

关 键 词：非扩张映像 A-极大单调 包含问题 

分 类 号：O177.1[理学—数学]