Convergence theorems for two finite families of some generalized nonexpansive mappings in hyperbolic spaces

Volume 10, Issue 2, pp 734--743 http://dx.doi.org/10.22436/jnsa.010.02.34

Publication Date: February 20, 2017 Submission Date: November 05, 2016

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Authors

Safeer Hussain Khan - Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, State of Qatar. Hafiz Fukhar-ud-din - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.

Abstract

We propose and analyze a one-step explicit iterative algorithm for two finite families of mappings satisfying condition (C) in hyperbolic spaces. Our results are new and generalize several recent results in uniformly convex Banach spaces and CAT(0) spaces, simultaneously.

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ISRP Style

Safeer Hussain Khan, Hafiz Fukhar-ud-din, Convergence theorems for two finite families of some generalized nonexpansive mappings in hyperbolic spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 734--743

AMA Style

Khan Safeer Hussain, Fukhar-ud-din Hafiz, Convergence theorems for two finite families of some generalized nonexpansive mappings in hyperbolic spaces. J. Nonlinear Sci. Appl. (2017); 10(2):734--743

Chicago/Turabian Style

Khan, Safeer Hussain, Fukhar-ud-din, Hafiz. "Convergence theorems for two finite families of some generalized nonexpansive mappings in hyperbolic spaces." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 734--743

Keywords

Hyperbolic space
one-step iterative algorithm
nonexpansive mapping
condition (C)
common fixed point
strong convergence
\(\Delta\)-convergence.

MSC

47H09
47H10
49M05

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