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

Authors: HÜLYA DURU

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

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