一类非线性算子方程解的迭代逼近

在一般的Banach空间中讨论强增生算子方程解和严格伪压缩算子不动点的迭代逼近问题,我们的结果改进并推广了文[1,2,5,7]中的相应结果。     

Lipschitz强增生算子方程解的Ishikawa迭代逼近

设E是任意实Banach空间．T：E→E是Lipschitz强增生算子,在无需假设limαn=limβn=0之下，本文证明了带误差的Ishikawa迭代序列强收敛到方程Tx=f的唯一解，而且还提供了该序列的某些特例的收敛率估计，另外，相关结果也讨论了E中Lipschkz强伪压缩映象的不动点的Ishikawa迭代逼近问题．本文结果改进并推广了文献中的一些最近结果。     

Banach空间中增生算子方程的迭代程序的解与误差估计

在一般Ｂａｎａｃｈ空间中研究了Ｌｉｐｓｃｈｉｔｚ强增生算子迭代逼近及其误差估计问题     

Banach空间中增生算子方程的 迭代程序的解与误差估计

在一般Banach空间中研究了Lipschitz强增生算子迭代逼近及其误差估计问题.     

关于强伪压缩映射迭代程序的稳定性

设E是具有一致凸对偶E^*的实Banach空间，E^*是凸性模满足：δE*(ε）≥cε^q，其中q≥2和c≥0是常数。在E中，我们研究没有连续性假设的强伪压缩映射的广义Mann和广义Ishikawa迭代程序的稳定性。     

关于m-增生算子的Ishikawa迭代程序的收敛性与稳定性

在任意的Banach空间的条件下,具误差的Ishikawa迭代程序强收敛到非线性方程x+Tx=f的唯一解并且是几乎稳定的.其结果推广、改进和统一了Zeng和Liu的相关结果.     

Banach空间中一般的强增生算子方程解的迭代逼近

设1＜p≤2,X是实p-一致光滑的Banach空间,TX→X是一强增生算子,研究了用于求方程Tx=f解的带误差的Ishikawa迭代程序分别在条件αn→0(n→∞)与条件0＜α≤αn((A)n≥0)下的强收敛问题,改进与推广了现有的结果.     

Lipschitz强增生算子方程逼近解的带误差的Ishikawa迭代程序

设E是任意实Banach空间，T：E→E是Ligpschitz的强增生算子。证明了带误差的Ishikawa迭代序列强收敛到方程Tx=f的唯一解。特别地，还给出了Ishikawa迭代序列的收敛率估计。另一方面，一个相关结果，讨论了E中Lipschitz强伪压缩映象的不动点的带误差的Ishikawa迭代序列的收敛性。     

Banach空间中一般的强增生算子方程解的迭代逼近

设1相似文献   

关于Banach空间中Lipschitz强伪压缩映象的带误差的Ishikawa型迭代序列

设X是任意实B&nach空间E的闭子空间,TX→X是Lipschitz强伪压缩映象,使得Tx*=x*,对某x*∈X…在没有条件limαn=nlimβn=0之下,本文证明了带误差的Ishikawa型迭代序列强收敛到x*.另外,相关结果又证明了,当TE→E是Lipschitz强增生算子时,带误差的Ishikawa型迭代序列强收敛到方程Tx=f的唯一解.     

Banach空间中强增生型变分包含解的具混合误差项的Ishikawa迭代逼近

该文研究了Banach空间中一类强增生型变分包含解的存在性及其具有混合误差项的Ishikawa迭代程序的收敛性问题. 所得结果改进和推广了张石生,曾六川等人的相关应结果     

Banach空间中强增生型变分包含解的具误差的Ishikawa迭代逼近

该文研究Ｂａｎａｃｈ空间中一类强增生型变分包含解的存在性及其具误差的Ｉｓｈｉｋａｗａ迭代程序的收敛性问题．该文结果是几位作者早期与最近的相应结果的改进和推广．     

Modified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach Spaces

In this paper, we modify the Ishikawa iteration process and show that such process, associated with a nonlinear Lipschitzian generalized strongly pseudo-contractive operator with a fixed point in a (not necessarily uniformly smooth) Banach space, converges strongly to the unique fixed point of this operator.     

Iterative Solutions of Nonlinear Equations of the Strongly Accretive Type

Let E be a real q-uniformly smooth Banach space. Suppose T is a strongly pseudo-contractive map with open domain D(T) in E. Suppose further that T has a fixed point in D(T). Under various continuity assumptions on T it is proved that each of the Mann iteration process or the Ishikawa iteration method converges strongly to the unique fixed point of T. Related results deal with iterative solutions of nonlinear operator equations involving strongly accretive maps. Explicit error estimates are also provided.     

Approximation Solutions of Nonlinear Strongly Accretive Operator Equations by Ishikawa Iteration Procedure with Errors

Let 1＜ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the equation Tx=f by the Ishikawa iteration procedure with errors (?) where x_0 ∈ E,{u_n},{υ_n}are bounded sequences in E and{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'} are real sequences in[0,1].Under the assumption of the condition 0＜α≤b_n c_n,An≥0, it is shown that the iterative sequence{x_n}converges strongly to the unique solution of the equation Tx=f.Furthermore,under no assumption of the condition(?)(b_n~' c_n~')=0,it is also shown that{x_n}converges strongly to the unique solution of Tx=f.     

A Note on Iterative Solutions of Nonlinear Accretive Operator Equations

ＬｅｔＸｂｅａｒｅａｌＢａｎａｃｈｓｐａｃｅｗｉｔｈｄｕａｌｉｔｙｍａｐｐｉｎｇＪ:Ｘ→ 2 Ｘ ｇｉｖｅｎｂｙＪ(ｘ) =ｊ∈Ｘ :(ｘ ,ｊ) =ｘ 2 =ｊ 2 ,ｗｈｅｒｅＸ ｄｅｎｏｔｅｓｔｈｅｄｕａｌｓｐａｃｅｏｆＸ .ＡｎｏｐｅｒａｔｏｒＴ :Ｄ(Ｔ) Ｘ→Ｘｉｓｃａｌｌｅｄｓｔｒｏｎｇｌｙａｃｃｒｅｔｉｖｅｉｆｆｏｒａｎｙｘ ,ｙ∈Ｄ(Ｔ)ｔｈｅｒｅｅｘｉｓｔｓｊ(ｘ -ｙ)∈Ｊ(ｘ -ｙ)ａｎｄａｃｏｎｓｔａｎｔｋ >0ｓｕｃｈｔｈａｔ(Ｔｘ-Ｔｙ,ｊ(ｘ-ｙ) ) ≥ｋ ｘ-ｙ 2 .Ｗｉｔｈｏｕｔｌｏｓｓｏｆｇｅｎｅｒａｌｉｔｙ ,ｉｔ…     

一致平滑Banach空间中一类非线性算子的Ishikawa迭代序列的收敛定理

使用新的技巧，我们得到了连续强增生算子或连续强伪压缩算子的Ｉｓｈｉｋａｗａ迭代序列的强收敛定理，推广或改进了近期相关的结果．