关于两个有限族渐近非扩张映射的注记(英文)
Remarks on two finite families of asymptotically nonexpansive mappings
摘要
在一致凸Banach空间中证明了两个有限族渐近非扩张映射的强收敛和弱收敛定理。
This paper studies the strong and weak convergence of two finite families of asymptotically nonexpansive mappings in uniformly convex Banach spaces.
出处
《苏州科技学院学报(自然科学版)》
CAS
2012年第3期32-36,共5页
Journal of Suzhou University of Science and Technology (Natural Science Edition)
基金
江苏省教育厅高校自然科学基金资助项目(08KJD110016)
关键词
一致凸BANACH空间
渐近非扩张映射
公共不动点
全连续
强收敛
弱收敛
uniformly convex Banach space
asymptotically nonexpansive mapping
common fixed point
complete continuity
strong convergence
weak convergence
参考文献8
-
1Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping[J]. Proc Amer Math Soc, 1972,35 : 171-174. 被引量:1
-
2Chen W, Guo W. Convergence theorems for two finite families of asymptotically nonexpansive mappings[J]. Math Comput Modelling,2011,54: 1311-1319. 被引量:1
-
3Guo W. Weak convergence theorem for asymptotically nonexpansive nonself-mapping[J]. Appl Math Lett, 2011,24:2181-2185. 被引量:1
-
4Wang L. Strong and Weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings[J]. J Math Anal Appl, 2006,323 : 550-557. 被引量:1
-
5Chang S S, Tan K K, Lee H W J,et al. On the convergence of implicit iterative process with error for a finite family of asymptotically nonexpansive mappings[J]. J Math Anal Appl, 2006,313 : 273-283. 被引量:1
-
6Guo W,Cho Y J. On the strong convergence of the implicit iterative process with errors for a finite family of asymptotically nonexpansive mappings[J]. Appl Math Lett,2008,21 : 1046-1052. 被引量:1
-
7Osilike M O,Udomene A. Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browdwer-Petryshyn type[J]. J Math Anal Appl, 2001,256 : 431-445. 被引量:1
-
8Chang S S,Cho Y J,Zhou H Y. Demi-closed principle and weak convergence problems for asymptotically nonexpansive mappings[J]. J Kprean Math Soc ,2001,38 : 1245-1260. 被引量:1
-
1吴小太.鞅差序列的一个弱大数定律[J].安徽工程科技学院学报(自然科学版),2007,22(4):76-77.
-
2黄志霞,黄建华.一类分裂变分不等式问题及其算法[J].闽江学院学报,2013,34(2):33-38.
-
3张焕,张芳.非伸展映像与非扩张映像在Hilbert空间中的弱收敛定理[J].天津工业大学学报,2013,32(2):86-88.
-
4高改良,周海云,陈东青,杨建法.关于逼近点算法的弱收敛性[J].河北科技大学学报,2004,25(3):6-8.
-
5裴仁虎,韩海丽,刁天博.浅谈计数过程的矩上界和极值极限定理[J].中国科技信息,2014(10):48-50.
-
6刘秀敏,张征.Hilbert空间的关于非扩张映射的Mann迭代序列的平均值遍历定理[J].宜宾学院学报,2011,11(12):7-9.
-
7程旭,李建国.关于高负荷多渠道服务系统的弱收敛定理的注记[J].山东建筑工程学院学报,1997,12(4):91-95.