- Turkish Journal of Mathematics
- Vol: 35 Issue: 2
- A fixed point theorem for a compact and connected set in Hilbert space
A fixed point theorem for a compact and connected set in Hilbert space
Authors : Hülya Duru
Pages : 293-299
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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