Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces

الملخص EN

Let K be a nonempty, closed, and convex subset of a real Hilbert space H.

Suppose that T:K→2K is a multivalued strictly pseudocontractive mapping such that F(T)≠∅.

A Krasnoselskii-type iteration sequence {xn} is constructed and shown to be an approximate fixed point sequence of T; that is, limn→∞d(xn,Txn)=0 holds.

Convergence theorems are also proved under appropriate additional conditions.