关于m-增生算子零点的粘性复合迭代序列的强收敛性  

The Strong Convergence of a Composite Iterative Sequences for the Zeros of m-Accretive Operators

作　　者：王元恒[1] 潘灵荣[1] 

机构地区：[1]浙江师范大学数学研究所,浙江金华321004

出　　处：《应用数学》2009年第4期863-869,共7页Mathematica Applicata

基　　金：国家自然科学基金(10771141)

摘　　要：在一致光滑的Banach空间的框架下,引入关于m-增生算子的一种新粘性复合迭代序列{xn},并证明了在适当的控制条件下,此迭代序列强收敛于m-增生算子的一个零点,用不同方法推广了相关文献的近代结果.In the present paper a new composite iterative scheme { xn } is introduced, which approximate the zeros of an m- accretive operator A defined on uniform smooth Banach spaces. It is showed that the iterative process converges strongly to the zeros of A under some given conditions. The results here improve and extend some authors＇ related recently results.

关 键 词：M-增生算子 复合迭代序列 强收敛性 一致光滑BANACH空间 

分 类 号：O177.91[理学—数学]