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

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)≠(O),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Chidume和Zegeye于2003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.

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

Let E be a real uniformly smooth Banach space, A : D( A )(?)E→2E be accretive mapping and sat-ifying the range condition,and A -1 (0)≠(?) for (?) z ∈ E The sequence { xn } (?)D( A) is defined as followfor un ∈ Axn and (?) n≥1 , where {λ} ang {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.