A fixed point theorem for a compact and connected set in Hilbert space

Authors : Hülya Duru

Pages : 293-299

View : 15 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Let (H,) be a real Hilbert space and let K be a compact and connected subset of H. We show that every continuous mapping T:K \rightarrow K satisfying a mild condition has a fixed point.
Keywords : Fixed point, nonexpansive mapping, Hilbert space a fixed point theorem for a compact and connected set in Hilbert space