A Weak Convergence Theorem for A Finite Family of Asymptotically Nonexpansive Mappings
A Weak Convergence Theorem for A Finite Family of Asymptotically Nonexpansive Mappings
摘要
The purpose of this paper is to prove a new weak convergence theorem for a finite family of asymptotically nonexpansive mappings in uniformly convex Banach space.
The purpose of this paper is to prove a new weak convergence theorem for a finite family of asymptotically nonexpansive mappings in uniformly convex Banach space.
基金
The NSF (11271282) of China
参考文献7
-
1Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping. Proc. Amer. Math. Soc., 1972, 35: 171-174.
-
2Chang S S, Tan K K, Lee H W J, Chart C K. On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings. J. Math. Anal. Appl., 2006, 313: 273-283.
-
3Osilike M O, Udomene A. Demiclosedness principle and convergence theorems for strictly pseu- docontraetive mappings of Browder-Petryshyn type. J. Math. Anal. Appl., 2001, 256: 431-445.
-
4Guo W P, Cho Y J. On the strong convergence of implicit iteration processes with errors for a finite family of asymptotically nonexpansive mappings. Appl. Math. Lett., 2008, 21: 1046-1052.
-
5Chang S S, Cho Y J, Zhou H Y. Demi-closed principle and weak convergence problems for asymptotically nonexpansive mappings. J. Korean Math. Soc., 2001, 38: 1245-1260.
-
6Falset J G, Kaczor W, Kuczumow T, Reich S. Weak convergence theorems for asymptotically none~pansive mappings and semigroups. Nonlinear Anal., 2001, 43: 377-401.
-
7Guo W P, Guo W. Weak convergence theorems for asymptotically nonexpansive nonself- mappings. Appl. Math. Lett., 2011, 24: 2181-2185.
-
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
-
2Safeer Hussain Khan,Mujahid Abbas.APPROXIMATING COMMON FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J].Analysis in Theory and Applications,2011,27(1):76-91.
-
3丁夏畦,罗佩珠.WEAK CONVERGENCE OF SOME SERIES[J].Acta Mathematica Scientia,2000,20(4):433-441. 被引量:1
-
4杨光崇.QUASI-WEAK CONVERGENCE WITH APPLICATIONS IN ORDERED BANACH SPACE[J].Applied Mathematics and Mechanics(English Edition),1999,20(11):1291-1296. 被引量:1
-
5Luisa Di Piazza(Dept of Math, via Archirafi 3490123 Palermo ITALY).WEAK CONVERGENCE OF HENSTOCK INTEGRABLE SEQUENCES[J].数学研究,1994,27(1):148-153.
-
6Guangjun SHEN Xiuwei YIN Dongjin ZHU.Weak convergence to Rosenblatt sheet[J].Frontiers of Mathematics in China,2015,10(4):985-1004. 被引量:2
-
7Ying LIU.Weak Convergence of a Projection Algorithm for Variational Inequalities and Relatively Nonexpansive Mappings in a Banach Space[J].Journal of Mathematical Research and Exposition,2010,30(4):716-724.
-
8Wei Shi-long,Guo Wei-ping,Ji You-qing.Strong Convergence Theorems for Mixed Type Asymptotically Nonexpansive Mappings[J].Communications in Mathematical Research,2015,31(2):149-160.
-
9丁夏畦,罗佩珠.WEAK CONVERGENCE OF SOME DIRICHLET SERIES[J].Acta Mathematica Scientia,2001,21(4):433-439.
-
10Li WEI,Rui Lin TAN,Hai Yun ZHOU.A Weak Convergence Theorem for Equilibrium Problems,Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces[J].Journal of Mathematical Research and Exposition,2011,31(3):551-561.