alexa Convergence Theorems for Multivalued Non-expansive Mappings in Hyperbolic Spaces
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Convergence Theorems for Multivalued Non-expansive Mappings in Hyperbolic Spaces

Xian-Cai Lei*

Institute of Mathematics, Yibin University, Yibin, Sichuan 644007, China

*Corresponding Author:
Xian-cai Lei
Institute of Mathematics
Yibin University, Yibin
Sichuan 644007, China
Tel: (86)-13309094957
E-mail: [email protected]

Received Date: February 19, 2014; Accepted Date: March 28, 2014; Published Date: April 02, 2014

Citation: Lei XC (2014) Δ-Convergence Theorems for Multivalued Non-expansive Mappings in Hyperbolic Spaces. J Appl Computat Math 3:158 doi: 10.4172/2168-9679.1000158

Copyright: © 2014 Lei XC. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

The purpose of this paper is that iteration scheme of multivalued non-expansive mappings in Banach spaces is extended to hyperbolic spaces and to prove some Δ−convergence theorems of the mixed type iteration process to approximating a common fixed point for two multivalued non-expansive mappings and two non-expansive mappings in hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature.

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