Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

被引：0
|
作者：
Khan M.A.A. [1 ]
Fukhar-ud-din H. [2 ,3 ]
Kalsoom A. [3 ]
机构：
[1] Department of Mathematics, COMSATS Institute of Information Technology, Lahore
[2] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran
[3] Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur
来源：
Fixed Point Theory and Applications | / 2016卷 / 1期
关键词：
asymptotic center; common fixed point; hyperbolic space; modulus of uniform convexity; total asymptotically nonexpansive mapping;
D O I：
10.1186/s13663-015-0483-2
中图分类号：
学科分类号：
摘要：
This paper provides a fixed point theorem and iterative construction of a common fixed point for a general class of nonlinear mappings in the setup of uniformly convex hyperbolic spaces. We translate a multi-step iteration, essentially due to Chidume and Ofoedu (J. Math. Anal. Appl. 333:128-141, 2007) in such a setting for the approximation of common fixed points of a finite family of total asymptotically nonexpansive mappings. As a consequence, we establish strong and △-convergence results which extend and generalize various corresponding results established in the current literature. © 2016, Khan et al.
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页码：1 / 18
页数：17
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