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strongly quasi-accretive operator
相关语句
  相似匹配句对
     Approximation for the Zeros of Strongly Accretive Operator Equation
     强增生算子方程的零点逼近
短句来源
     Quasi-Clcoed Operator
     拟闭算子
短句来源
     Iterative approximation of solution of strongly accretive operator equations
     关于强增生算子方程解的迭代逼近
短句来源
     ITERATIVE PROCESS OF NONLINEAR EQUATIONS OF THE Φ-STRONGLY ACCRETIVE OPERATOR
     非线性Φ-强增生算子方程的迭代程序
短句来源
     ITERATIVE APPROXIMATION OF ZEROS OF φ-STRONGLY QUASI - ACCRETIVE OPERATORS
     φ-强拟增生算子零点的迭代逼近
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Let X be a real uniformly smooth Banach space and T: X→X be a Lipschitz and 9 - strongly quasi - accretive operator. Let and be two real sequences in [0,1] satisfying (i) Set S = I - T, where I: X→X denotes the identity operator. Define the Ishikawa iterative sequence {xn}n∞=0 as follows:Then {xn}n∞=0 converges strongly to unique zero of T.A related result deals with the iterative approximation of fixed points of - semicontractive operatiors.

设X为实一致光滑Banach空间,T:X→X为Lipschitzφ-强拟增生算子。设为[0,1]中数列满足(ⅰ);(ⅱ)令s=I-T,其中I:X→X为恒等算子。定义Ishikawa迭代序列:则强收敛于T的唯一零点。 一个相关的结果处理Lipschitzφ-半伪压缩算子的不动点的迭代逼近。

Let X be a real uniformly smooth Banach space and let T:D(T)(?)X→Xbe (?)-hemicontractive and locally bounded at its fixed point q∈F(T).Under somesuitable assumptions on the iteration parameters {αn}and{βn},we have proved thatthe Mann and Ishikawa iteration processes for T converge strongly to the unique fixedpoint q of T.Several related results deal with iterative solutions of nonlinear equationsinvolving (?)-strongly quasi-accretive operators.Our results extend and generalize thosecorresponding...

Let X be a real uniformly smooth Banach space and let T:D(T)(?)X→Xbe (?)-hemicontractive and locally bounded at its fixed point q∈F(T).Under somesuitable assumptions on the iteration parameters {αn}and{βn},we have proved thatthe Mann and Ishikawa iteration processes for T converge strongly to the unique fixedpoint q of T.Several related results deal with iterative solutions of nonlinear equationsinvolving (?)-strongly quasi-accretive operators.Our results extend and generalize thosecorresponding ones by Xu and Roach,Zhou and Jia and others.

设X为实一致光滑Banach空间,T:D(T)■X→X为-半压缩映象且在它的不动点q处是局部有界的.本文证明了Mann迭代与Ishikawa迭代过程强收敛于T的唯一不动点q.几个相关的结果处理(?)-强拟增生算子方程的解的迭代构造.本文所得到的结果扩展并推广了Xu和Roach,Zhou和Jia等人的相应结果.

The purpose of this paper is to study the iterative approximation problems of the solutions of Φ-strongly quasi-accretive operator equations and the fixed points of Φ-hemicontractive operators in Banach space. These operators in this paper have no Lipschitz or bound assumption . The results of this paper unify, improve and extend the recent corresponding results of \.

在一般的 Banach空间中讨论了Φ -强拟增生算子方程的解和Φ -半压缩型算子不动点的迭代逼近问题 ,算子无 Lipschitz假设或有界性要求 ,证明简捷 ,得到的结果统一、改进和推广了文 [1 - 1 0 ]中的相应结果 .

 
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