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φ-strongly accretive operators
相关语句
  φ-强增生算子
     Approximation Problem of Solutions for a Class of Nonlinear φ-Strongly Accretive Operators Equation in Banach Spance
     Banach空间中一类非线性φ-强增生算子方程解的逼近问题(英文)
短句来源
     Ishikawa Iterative Process with Errors for a Now Class of Nonlinear Equations of φ -strongly Accretive operators
     一类新的φ-强增生算子方程的带误差的Ishikawa迭代程序(英文)
短句来源
     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 .
短句来源
     The purpose of this paper is to investigate the approximating fixed points of multi-valued Φ-hemicontractive operators by Mann iteration process with random errors and the problem of the solution of multi-valued Φ-strongly accretive operators equation. These results extend and improve some authors' corresponding results.
     研究了具随机误差的mann迭代序列逼近多值的Φ -半压缩算子的不动点和含多值Φ -强增生算子方程的解的问题 ,所得的结果推广和改进了有关文献的相应结果。
短句来源
  “φ-strongly accretive operators”译为未确定词的双语例句
     This paper investigated approximating fixed points of multi-valued Φ-hemicontractive operators by Ishikawa iteration process with random errors and the problem of the solution of multi-valued Φ-strongly accretive operators equation in the uniformly smooth spaces. These results extend and improve the coreposending results.
     引入和研究了一致光滑空间框架下具随机误差的Ishikawa迭代序列逼近多值的Φ 半压缩算子的不动点和含多值Φ 强增生算子方程解的问题,所得的结果推广和改进了相应的结果.
短句来源
  相似匹配句对
     -,φ>;
     -,φ>的某一子代数同构; 对任一关联BCK-代数
短句来源
     Φσ.
     multiply from p=1 to k(Aut(MO_p))~(φ(n,p))
短句来源
     On H(Φ) Spaces
     关于H(Φ)空间
短句来源
     b) M is Φ-invariant.
     ξ′∈D_2,则M=M_1×M_2为Hermite流形N=N_1×N_2的关于分布D=D_1×D_2的CR-子流形.
短句来源
     SUPERPOSITION OPERATORS ON SPACE w(φ)
     空间w(φ)上的迭加算子
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 very...

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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