STRONG CONVERGENCE THEOREM TO COMMON FIXED POINTS OF NONEXPANSIVE SEMIGROUPS {$T(t):t\geq0$} IN HILBERT SPACES (Nonlinear Analysis and Convex Analysis)
智成 鈴木 · Kyoto University Research Information Repository (Kyoto University) · 1998
In this paper, we prove the following strong convergence theorem: Let $C$ be a closed convex subset of a Hilbert space $H$ .Let $\{T(t) : t\geq 0\}$ be a strongly continuous semigroup of non- expansive mappings on $C$ such that $F( \mathcal{T})=\bigcap_{t\geq 0}F(T(t)) eq\emptyset$ .Let $\{\alpha_{n}\}$ and $\{t_{n}\}$ be sequences of real numbers satisfying $00,$ $t_{n}arrow 0$ and $\alpha_{n}/t_{n}arrow 0$ .Let $z\in C$ and let $\{u_{n}\}$ be a se-