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φ-strongly accretive operator
相关语句
  φ-强增殖算子
     Iterative Process to φ-Hemicontractive Operator and φ-Strongly Accretive Operator Equations
     φ-半压缩算子和φ-强增殖算子方程的迭代
短句来源
  φ-强增生算子
     Ishikawa Iterative Approximation of Solutions for Multi-valued Φ-Strongly Accretive Operator Equation
     多值Φ-强增生算子方程解的Ishikawa迭代逼近
短句来源
     Let q≥2, and E be real q - uniformly smooth Banach space. We abtain the strong convergence theorem for Ishikawa iterative sequence of Lipschitz φ- strongly accretive operator.
     在q(≥2)一致光滑Banach空间中得到了LipschitzΦ-强增生算子的Ishikawa迭代序列的强收敛定理。
短句来源
     The problem of existence and approximation for solutions of Φ-strongly accretive operator equations and fixed points of Φ-hemicontractive operators in Banach spaces
     Banach空间中的Φ-强增生算子方程解及Φ-半压缩算子不动点的存在与逼近问题
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
     The purpose of this paper is to study the existence and approximation problem of solutions for a class of nonlinear Φ-strongly accretive operator equations f∈H(x)+T(x) in Banach spaces. We establish a necessary and sufficient condition that the Ishikawa iterative sequence with mixed errors convergens strongly to solutions.
     文章主要研究了Banach空间中的一类Φ-强增生算子方程f∈H(x)+T(x)解的存在性与逼近问题,我们证明了带有混合误差的Ishikawa迭代序列收敛到解的一个充要条件。
短句来源
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  “φ-strongly accretive operator”译为未确定词的双语例句
     The aim of the present paper is to introduce a new method to prove existences of limit of Mann and Ishikawa iteration sequence of Lipschitz Φ-strongly accretive operator equation Tx=f.
     考察Lipschitz Φ- 强增生算子方程迭代程序极限存在性。 所得结果没有假设空间是一致光滑的。
短句来源
     The purpose of this paper is to introduce multi-valued Φ-accretive and multi valued Φ-pesudocontractive mappings which are much more general than the important multi-valued φ-strongly accretive operator and multi-valued φ-strongly pseudocontractive in arbitrary Banach space. We study Ishikawa iterative approximation problem of fixed points and solutions for multi-valued Φ-accretive and multi-valued Φ-pesudocontractive mappings in general Banach space.
     在任意Banach空间中引入比重要的多值-强增生映象和多值-强伪压缩映象更一般的多值Φ-增生映象和多值Φ-伪压缩映象,研究多值Φ-增生映象方程的解和多值Φ-伪压缩映象不动点的具随机误差的Ishikawa迭代逼近问题.
短句来源
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Let q≥2, and E be real q - uniformly smooth Banach space. We abtain the strong convergence theorem for Ishikawa iterative sequence of Lipschitz φ- strongly accretive operator.

在q(≥2)一致光滑Banach空间中得到了LipschitzΦ-强增生算子的Ishikawa迭代序列的强收敛定理。

Let X be a real uniformly smooth Banach space and let A:X→X be a Lipschitzian and φ-strongly accretive operator such that inf t>0φ(t)t>0.Let {t n} n≥0 be a real sequence in (0,1] satisfying conditions:(i)t n→0 as n→∞;(ii)∑ ∞ n=0 t n=∞.For arbitrary given f in X and initial value x 0∈X,define iteratively a sequence {x n} n≥0 as follows:(*)x n+1 =x n-t n(Ax n-f),n≥0.Then {x n} n≥0 converges strongly to the unique solution of the equation Ax=f.Furthermore,for...

Let X be a real uniformly smooth Banach space and let A:X→X be a Lipschitzian and φ-strongly accretive operator such that inf t>0φ(t)t>0.Let {t n} n≥0 be a real sequence in (0,1] satisfying conditions:(i)t n→0 as n→∞;(ii)∑ ∞ n=0 t n=∞.For arbitrary given f in X and initial value x 0∈X,define iteratively a sequence {x n} n≥0 as follows:(*)x n+1 =x n-t n(Ax n-f),n≥0.Then {x n} n≥0 converges strongly to the unique solution of the equation Ax=f.Furthermore,for very large n≥n 0,and the error estimation is given by ‖Ax n-f‖≤exp{-σ∑n-1j=n 0t j‖Ax n 0 -f‖,where σ= inf t>0φ(t)t>0. A related result deals with the contructive solvability of the operator equation Tx=x involving strictly(stongly) pseudocontractive mappings.

设X为实一致光滑Banach空间 ,A :X→X为Lipschitz强增生算子 ,设L≥ 1和k∈( 0 ,1)分别为A的Lipschitz常数与强增生常数。设 {tn}n≥ 0 为 ( 0 ,1]中的实数列满足条件 :(i)tn→ 0 (n→∞ ) ;(ii)∑∞n =0 tn=∞ , f∈X , x0 ∈X ,迭代地定义序列 {xn}n≥ 0如下 :( )  xn+1 =xn-tn(Axn- f) ,n≥ 0 .则 {xn}n≥ 0 强收敛于方程Ax =f的唯一解 ,而且对充分大的n≥n0 ,‖Axn- f‖ ≤ exp{-k∑n- 1j=n0tj}‖Axn0 - f‖  一个相关的结果研究含强伪压缩映象的方程Tx =x的构造可解性。

This paper is to introduce Φ-accretive operators-a class of operators which is much more general than the important class of φ-strongly accretive operators, and to study the existence of solution and the convergence of Ishikawa iterative sequence with errors for Φ-accretive operators.

本文引入Φ- 增生型算子———一类比重要的 φ- 强增生算子更一般的算子 ,并研究了Φ- 增生型算子方程解的存在性和带误差的Ishikawa迭代序列的收敛问题 .

 
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