Fixed point theorems for some new nonlinear mappings in Hilbert spaces

Fixed point theorems for some new nonlinear mappings in Hilbert spaces

<p>Abstract</p> <p>In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems...

Full description

Bibliographic Details
Main Authors: Yu Zenn-Tsun, Lin Lai-Jiu, Chuang Chih-Sheng
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Subjects:
nonspreading mapping
fixed point
demiclosed principle
ergodic theorem
nonexpansive mapping
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/1/51
Description
Summary:<p>Abstract</p> <p>In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems, ergodic theorems, demiclosed principles, and Ray's type theorem for these nonlinear mappings.</p> <p>Next, we prove weak convergence theorems for Moudafi's iteration process for these nonlinear mappings. Finally, we give some important examples for these new nonlinear mappings.</p>
ISSN:1687-1820
1687-1812

Similar Items