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

Autor:	Fukhar-ud-din, Hafiz, Kalsoom, Amna, Khan, Muhammad Aqeel Ahmad
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis 47H09 47H10 Secondary: 49M05
Druh dokumentu:	Working Paper
Popis:	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 [4] in such setting for the approximation of common fixed points of a finite family of total asymptotically nonexpansive mappings. As a consequence, we establish strong and del-convergence results which extend and generalize various corresponding results announced in the current literature. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.2418 Zobrazit plný text záznamu View this record from Arxiv