Banach空间中渐近伪压缩映射有限簇的迭代序列强收敛的充要条件  

Necessary and Sufficient Conditions for Strong Convergence of Iterative Sequence of a Finite Family of Asymptotically Pseudocontractive Mappings in Banach Spaces

作　　者：倪仁兴[1] 黄德锋[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2007年第10期1-7,共7页Journal of Shaoxing University

基　　金：绍兴文理学院校级教改立项资助项目(070204);浙江省教育厅科研计划重点资助项目(20061154);浙江省自然科学基金资助项目(Y606717).

摘　　要：在一般实Banach空间中,研究有限个渐近伪压缩映象簇和有限个渐近非扩张映象簇的不动点的迭代逼近问题,给出带随机误差的修正的Ishikawa迭代序列强收敛的充要条件,所得结果改进和推广了朱玲娣(2002年),王朝和刘理蔚(2006年)等人的近期的相应结果.The iterative approximation problems of fixed points are studied for a finite family of asymptotically pseudocontractive mappings and a finite family of asymptotically non - expansive mappings in general real Banach spaces. Some necessary and sufficient conditions are given for modified Ishikawa iterative sequence with random errors to converge to fixed points. These results improve and extend the corresponding results of Zhu （2002）, Wang and Liu （2006）, and other authors.

关 键 词：渐近伪压缩映象有限簇 渐近非扩张映象有限簇 带随机误差的修正的Ishikawa迭代序列 不动点 充要条件 

分 类 号：O177.91[理学—数学]