Fixed Point Theorems and Convergence Theorems for Non-self Mappings in Hilbert Spaces (Nonlinear Analysis and Convex Analysis)
Mayumi Hojo · Kyoto University Research Information Repository (Kyoto University) · 2013
In this article, we first prove fixed point theorems for nonlinear non-self mappings in a Hilbert space.Next, we deal with weak and strong convergence theorems for nonlinear mappings in a Hilbert space.Using these results, we obtain new and well-known fixed point and convergence theorems.For example, we generalizes Hojo and Takahashi's mean strong convergence theorem [11] for generalized hybrid mappings.