基于(A,η)-极大单调算子的强收敛定理  

A Strong Convergence Theorem Based on the (A,η)-Maximal Monotonicity Framework

作　　者：杨雪[1] 陈汉军[2] 苏永福[1] 

机构地区：[1]天津工业大学理学院数学系,天津300160 [2]天津工业大学研究生部,天津300160

出　　处：《大学数学》2010年第6期134-136,共3页College Mathematics

摘　　要：采用三步迭代算法研究(A,η)-极大单调算子的不动点问题及用预解算子研究包含问题的解.同时给出了在相关条件下,由三步迭代算法迭代产生出的数列的强收敛性.文中的算法是在Noor,Huang[1]的两步算法产生的弱收敛定理及Ram U Verma[2]的关于解决包含问题解的方法的启发下得到.We suggest and analyze three-step iterations for finding the common element of the set of fixed points of a（A,η）-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 illumined from a weak theorem by the two steps algorithm of Noor,Huang and the idea of the including problem of Ram U Verma.

关 键 词：非扩张映像 (A η)-极大单调 包含问题 

分 类 号：O177.1[理学—数学]