实一致光滑Banach空间中增生映射零点的带误差项的迭代逼近

Iteration Approximation with Errors for Zero Point of Accretive Mappings in Real Uniformly Smooth Banach Space

设E为实一致光滑Banach空间，A：D(A)(?)E→2E为一增生映射且满足值域条件，并且A-1(0)≠(?)，对(?)z∈E，序列{xn}(?)D(A)定义为xn+1=xn-λn(un+θn(xn-z)+en)其中un∈Axn，(?)n≥1．这里{λn}，{θn}为满足一定条件的正实数列，假如{un}是有界的，则xn→x∈A-1(0)．本质上将Claidume和Zegeye于20C13年提出的关于增生映射零点的精确格式推广为带误差项的形式．

Let E be a real uniformly smooth Banach space, A .D （A）真包含E→2^E be accretive mapping and satifying the range condition, and A^-1（0）≠Ф对任意z∈E The sequence{xn}真包含D（A）is defined as follow xn＋1=xn-λn（un＋θn（xn-z）＋en） for un∈Axn,任意n≥1.where{λn},{θn} are real non-negative sequences satisfying some condition. We suppose that { un} is bounded ,then xn→x^＊∈A^-1（0） The accurate iteration scheme for zero points of accretive introduced by Chidume and Zegeye in 2003 has been essentially extended to the case of iteration scheme with errors.