Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces

Masoumeh Beheshti; Mahdi Azhini

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Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces

机译：Hilbert空间中非扩张映象的Ishikawa型广义粘度逼近方法

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In this paper, by using generalized viscosity mappings, we prove two strong convergence theorems for finding fixed points of a nonexpansive mapping which is also a unique solution of the variational inequality. Our results extend and improve the recent ones announced by some authors.

机译：在本文中，通过使用广义粘度映射，我们证明了两个很强的收敛性定理，它们可以找到非膨胀映射的固定点，这也是变分不等式的唯一解决方案。我们的结果扩展和改进了一些作者最近宣布的结果。

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《Armenian journal of mathematics》 |2018年第1期|共14页
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Masoumeh Beheshti; Mahdi Azhini;
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中图分类数学;
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专利

1. Viscosity approximation methods for nonexpansive mappings and inverse-strongly monotone mappings in Hilbert spaces [J] . Shenghua Wang, Baohua Guo Journal of Applied Mathematics and Computing . 2008,第1a2期

机译：Hilbert空间中非膨胀映射和强反单调映射的粘度逼近方法
2. Viscosity Approximation Methods for Common Fixed Points of a Finite Family of Quasi-Nonexpansive Mappings in Real Hilbert Spaces [J] . Jiangyan HE, Haiyun ZHOU, Xiaoyan HUO 数学研究及应用：英文版 . 2016,第003期

机译：实希尔伯特空间中一类拟非扩张映射的公共不动点的粘度逼近方法
3. Hybrid viscosity-like approximation methods for nonexpansive mappings in Hilbert spaces [J] . Lu-Chuan Ceng, Sy-Ming Guu, Jen-Chih Yao Computers & mathematics with applications . 2009,第3期

机译：Hilbert空间中非膨胀映射的类混合粘度近似方法
4. Viscosity Approximation Methods for Asymptotically Nonexpansive Mappings in Banach Spaces [C] . Wen Dao-Jun, Gong Qian-Fen Fourth International Conference on Intelligent Computation Technology and Automation . 2011

机译：Banach空间中渐近非扩张映象的粘度逼近方法
5. Multiresolution aspects of linear approximation methods in Hilbert spaces using gridded data. [D] . Kotsakis, Christophoros. 2000

机译：使用网格化数据的希尔伯特空间中线性逼近方法的多分辨率方面。
6. A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces [O] . Shih-sen Chang, Jen-Chih Yao, Ching-Feng Wen, -1

机译：Hadamard空间中单调包含和渐近非扩张映射的改进的粘度隐式近点算法
7. Hybrid viscosity-like approximation methods for nonexpansive mappings in Hilbert spaces [O] . Ceng Lu-Chuan, Guu Sy-Ming, Yao Jen-Chih 2009

机译：Hilbert空间中非膨胀映射的类混合粘度近似方法

Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces

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