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 strongly quasi-accretive operator 强拟增生算子(0)φ-强拟增生算子(0)
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 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 短句来源

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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 . << 更多相关文摘
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