Strong Convergence Theorems for Mixed Type Asymptotically Nonexpansive Mappings
Strong Convergence Theorems for Mixed Type Asymptotically Nonexpansive Mappings
摘要
The purpose of this paper is to study a new two-step iterative scheme with mean errors of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and prove strong convergence theorems for the new two-step iterative scheme in uniformly convex Banach spaces.
The purpose of this paper is to study a new two-step iterative scheme with mean errors of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and prove strong convergence theorems for the new two-step iterative scheme in uniformly convex Banach spaces.
基金
The NSF(11271282)of China
参考文献9
-
1Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping. Proe. Amer. Math. Soc., 1972, 35(1): 171-174.
-
2Chang S S, Cho Y J, Zhou H Y. Semi-closed principle and weak convergence problems for asymptotically nonexpansive mappings. J. Korean Math. Soc., 2001, 38(6): 1245-1260.
-
3Chen W, Guo W. Convergence theorems for two finite families of asymptotically nonexpansive mappings. Math. Comput. Modelling, 2011, 54(5/6): 1311-1319.
-
4Zhou Y Y, Chang S S. Convergence of implicit iteration process for a finite family of asymptot- ically nonexpansive mappings in Banach spaces. Numer. Funet. Anal. Optim., 2002, 23(7/8): 911-921.
-
5Schu J. Weak and strong convergence of fixed point of asymptotically nonexpansive mapping. Bull. Austral. Math. Soc., 1991, 43(1): 153-159.
-
6Sun ZH. Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings. J. Math. Anal. Appl., 2003, 286(1): 351-358.
-
7Chidume C E, Ofoedu E U, Zegeye H. Strong and weak convergence theorems for asymptotically nonexpansive mappings. J. Math. Anal. Appl., 2003, 280(2): 364-374.
-
8Wang L. Strong and weak convergence theorems for common fixed points of nonself asymptoti- cally nonexpansive mappings. J. Math. Anal. Appl., 2006, 323(1): 550-557.
-
9Guo W P, Cho Y J, Guo W. Convergence theorems for mixed type asymptotically nonexpansive mappings. Fixed Point Theory Appl., 2012, 2012: 224, 15pp.
-
1King Hui GAO,Hai Yun ZHOU.Strong Convergence Theorems for a Family of Quasi-φ-Asymptotically Nonexpansive Mappings[J].Journal of Mathematical Research and Exposition,2011,31(2):303-314. 被引量:4
-
2孙太祥.圆周上扩张自映射的迭代根[J].广西科学,1996,3(2):13-14.
-
3唐俊杰.流形上广义扩张自映射[J].数学学报(中文版),1990,33(6):814-819.
-
4黄庆学.用边界元法解接触问题的一种新的迭代方案[J].太原重型机械学院学报,1990,11(1):11-17.
-
5孙太祥.区间上三段单调扩张自映射的周期轨道[J].数学学报(中文版),1996,39(3):411-418. 被引量:5
-
6Kan Xu-zhou,Guo Wei-ping.A Weak Convergence Theorem for A Finite Family of Asymptotically Nonexpansive Mappings[J].Communications in Mathematical Research,2014,30(4):295-300.
-
7许素梅.非扩张映像的强收敛性[J].安阳师范学院学报,2010(2):4-6.
-
8A. Jehouani,A. Elmorabiti,J. Ghassoun,赵禹(译),刘同先(译).积分输运方程迭代解法的推广[J].国外核动力,2007,28(3):39-42.
-
9丁敏,龚胜波.NONLINEAR ANALYSIS ON THE VIBRATION OF ELASTIC PLATES[J].Acta Mathematica Scientia,2017,37(2):511-526.
-
10QIN Xiao Long,WU Chang Qun,SHANG Mei Juan.Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces[J].Journal of Mathematical Research and Exposition,2009,29(1):43-51.