%0 Journal Article
%T Fixed point theorems for some new nonlinear mappings in Hilbert spaces
%A Lin Lai-Jiu
%A Chuang Chih-Sheng
%A Yu Zenn-Tsun
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X 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. 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.
%K nonspreading mapping
%K fixed point
%K demiclosed principle
%K ergodic theorem
%K nonexpansive mapping
%U http://www.fixedpointtheoryandapplications.com/content/2011/1/51