Convergence theorems for fixed points of multivalued strictly pseudocontractive mappings in Hilbert spaces (Q370093)

Summary: Let \(K\) be a nonempty, closed, and convex subset of a real Hilbert space \(H\). Suppose that \(T : K \to 2^K\) is a multivalued strictly pseudocontractive mapping such that \(F(T) \neq \emptyset\). A Krasnoselskii-type iteration sequence \(\{x_n\}\) is constructed and shown to be an approximate fixed point sequence of \(T\); that is, \(\lim_{n \to \infty}d(x_n, Tx_n) = 0\) holds. Convergence theorems are also proved under appropriate additional conditions.