Title
Strong Convergence for Finding Fixed Point of Multi-valued Mapping.
Abstract
It is known that the Mann iteration is for approximating fixed points of nonexpans-ive single-valued mappings. However, in general the Mann iteration process has only weak convergence. In recent years, Sastry, Babu and Panyanak introduced the Mann and Ishikawa iteration scheme for non-expansive multi-valued mapping and obtained the strong convergen-ce theorems. In this paper, we introduce a new iterative method for quasi-nonexpansive multi-valued maps in Banach spaces, and obtain the strong convergence theorems.
Year
DOI
Venue
2013
10.1007/978-3-642-53932-9_62
Communications in Computer and Information Science
Keywords
Field
DocType
quasi-nonexpansive multi-valued,Mann iteration,nonexpansive multi-valued
Convergence (routing),Applied mathematics,Weak convergence,Normal convergence,Iterative method,Compact convergence,Convergence tests,Fixed point,Mathematics,Modes of convergence
Conference
Volume
ISSN
Citations 
391
1865-0929
0
PageRank 
References 
Authors
0.34
6
5
Name
Order
Citations
PageRank
Huancheng Zhang103.04
Xinghua Ma201.35
Linan Shi300.68
Yan Yan4124.02
Jingguo Qu524.90