Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense

Yan-NiGuo; Qiao-Li Dong; Zhi-Fei Zhang

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Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense

机译：关于中间意义上的有限族渐近严格伪压缩映射的弱收敛定理和强收敛定理的注记

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Let H be a real Hilbert space with norm || • || and C be a nonempty closed convex subset of H. Let T : C →C be a mapping. Recall the following concepts.(i) T is asymptotically nonexpansive with a sequence {k_n} [1] if k_n ∈[1, +00) with lim_(n→∞) k_n = 1 are such that ||T~nx-T~ny|| ≤K_nl|x-y||, ∨_x, y ∈C and n ∈N.(ii) T is called asymptotically nonexpansive in the intermediate sense [2] if T is uniformly continuous and lim sup sup (||T~nx - T~ny|| - ||x - y||) ≤ 0.

机译：令H为范数||的真实希尔伯特空间•|| C是H的一个非空封闭凸子集。令T：C→C是一个映射。回忆一下以下概念：（i）如果k_n∈[1，+00）且lim_（n→∞）k_n = 1使得|| T〜nx-T，则T是渐近非扩张的，序列为{k_n} [1] 〜ny || ≤K_nl| xy ||，∨_x，y∈C和n∈N。（ii）如果T是一致连续且lim sup sup（|| T〜nx-T，则在中间意义上，T被称为渐近非扩张[2] 〜ny ||-|| x-y ||）≤0。

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《Computers & mathematics with applications》 |2011年第4期|p.2132-2141|共10页
作者
Yan-NiGuo; Qiao-Li Dong; Zhi-Fei Zhang;
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College of Science, Civil Aviation University of China,Tianjin, 300300, People's Republic of China;

College of Science, Civil Aviation University of China,Tianjin, 300300, People's Republic of China;

Department of Mathematics and Statistics,Huazhong University of Science and Technology,Wu Han, 430074, People's Republic of China;

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1. Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense [J] . Jing Zhao, Songnian He Fixexd point theory and applications . 2010,第1期

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2. Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense [J] . Jing Zhao, Songnian He Fixexd point theory and applications . 2010,第1期

机译：中间意义上渐近严格伪压缩映射的弱和强收敛定理
3. STRONG AND WEAK CONVERGENCE THEOREMS FOR ASYMPTOTICALLY STRICT PSEUDOCONTRACTIVE MAPPINGS IN INTERMEDIATE SENSE [J] . L.-C. CENG, Q. H. ANSARI, J.-C. YAO Journal of nonlinear and convex analysis . 2010,第2期

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4. Convergence theorems for a finite family of strictly asymptotically pseudo-contractive mappings in q-uniformly smooth Banach spaces [C] . Huancheng Zhang, Aimin Yang, Yamian Peng, International Conference on Intelligent Structure and Vibration Control . 2011

机译：Q-均匀平滑的Banach空间中严格渐近伪收缩映射的有限家庭的融合定理
5. Fixed point theorems for pseudo-contractive mappings in Banach spaces. [D] . Ul-Haq, Irfan. 1998

机译：Banach空间中伪压缩映射的不动点定理。
6. Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces [O] . Habtu Zegeye, Naseer Shahzad -1

机译：自反Banach空间中Bregman弱相对论非扩张映射的有限个族的公共不动点的强收敛定理
7. Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense [O] . Guo Yan-Ni, Dong Qiao-Li, Zhang Zhi-Fei 2011

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Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense

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