Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

Filomena Cianciaruso; Giuseppe Marino; Luigi Muglia; Haiyun Zhou

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Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

机译：Banach空间中连续伪压缩的粘度方法的强收敛性

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摘要

We define a viscosity method for continuous pseudocontractive mappings defined on closed andconvex subsets of reflexive Banach spaces with a uniformly Gateaux differentiable norm. We provethe convergence of these schemes improving the main theorems in the work by Y. Yao et al. (2007)and H. Zhou (2008).

机译：我们定义了一种粘性方法，用于在一致的Gateaux可微范数上定义于自反Banach空间的封闭和凸子集的连续伪压缩映射。我们证明了这些方案的收敛性，从而改进了Y. Yao等人的工作中的主要定理。（2007）和H. Zhou（2008）。

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《Journal of applied mathematics and stochastic analysis: J.A.M.S.A》 |2008年第2期|共11页
作者
Filomena Cianciaruso; Giuseppe Marino; Luigi Muglia; Haiyun Zhou;
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正文语种 eng
中图分类应用数学;
关键词
Strong Convergence; Viscosity Methods; Pseudocontractions in Banach Spaces;

机译：强收敛;粘性方法;Banach空间中的伪压缩;

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专利

1. Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces [J] . Filomena Cianciaruso, Giuseppe Marino, Luigi Muglia, Journal of applied mathematics and stochastic analysis: J.A.M.S.A . 2008,第2期

机译：Banach空间中连续伪压缩的粘度方法的强收敛性
2. Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces [J] . FilomenaCianciaruso, GiuseppeMarino, LuigiMuglia, International journal of stochastic analysis . 2008,第1期

机译：Banach空间中连续伪压缩的粘度方法的强收敛性
3. Theorems of strong convergence of mixed iterative methods for obtaining strict pseudocontractions in Banach spaces [J] . Hu LG Applied mathematics letters . 2010,第7期

机译：Banach空间中获得严格伪压缩的混合迭代方法的强收敛定理
4. Strong convergence theorem for an equilibrium problem and a relatively nonexpansive mapping in Banach spaces [C] . Xiufang Liu International conference on computer design and applications . 2011

机译：Banach空间中一个平衡问题的强收敛定理和一个相对非扩张映射
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. Strong convergence of gradient projection method for generalized equilibrium problem in a Banach space [O] . Mohammad Farid, Syed Shakaib Irfan, Mohammad Firdosh Khan, -1

机译：Banach空间中广义平衡问题的梯度投影方法的强收敛性
7. Theorems of strong convergence of mixed iterative methods for obtaining strict pseudocontractions in Banach spaces [O] . Hu Liang-Gen 2010

机译：Banach空间中获得严格伪压缩的混合迭代方法的强收敛定理
8. Strong Convergence of Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces. [R] . Nevanlinna, O., Reich, S. 1978

机译：Banach空间中增生算子的收缩半群的强收敛性及迭代算法。

Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

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