Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

FilomenaCianciaruso; GiuseppeMarino; LuigiMuglia; HaiyunZhou

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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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We define a viscosity method for continuous pseudocontractivemappings defined on closed and convex subsets of reflexive Banach spaces witha uniformly Gâteaux differentiable norm. We prove the convergence of theseschemes improving the main theorems in the work by Y. Yao et al. (2007) and H. Zhou (2008).

机译：我们为连续伪收缩映射定义了一种粘性方法，该映射定义在具有一致Gâteaux可微范数的自反Banach空间的封闭和凸子集上。我们证明了这些方案的收敛性，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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《International journal of stochastic analysis》 |2008年第1期|共11页
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FilomenaCianciaruso; GiuseppeMarino; LuigiMuglia; HaiyunZhou;
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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] . 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
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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