Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

作者：Cholamjiak Watchara****; Suantai Suthep^*

来源：Computers & Mathematics with Applications, 2010, 60(7): 1917-1923.

DOI：10.1016/j.camwa.2010.07.025

• Generalized asymptotically quasi-nonexpansive mapping
• Iterative method
• Common fixed point
• Banach space
• Strong convergence

In this paper, we introduce a new iterative scheme for finding a common Fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407-413] and many others.

• 出版日期2010-10