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

Authors

HÜLYA DURU

DOI

10.3906/mat-0805-36

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

First Page

293

Last Page

299

Recommended Citation

DURU, HÜLYA (2011) "A fixed point theorem for a compact and connected set in Hilbert space," Turkish Journal of Mathematics: Vol. 35: No. 2, Article 10. https://doi.org/10.3906/mat-0805-36
Available at: https://journals.tubitak.gov.tr/math/vol35/iss2/10