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.

DOI

10.3906/mat-0805-36

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, H (2011). A fixed point theorem for a compact and connected set in Hilbert space. Turkish Journal of Mathematics 35 (2): 293-299. https://doi.org/10.3906/mat-0805-36

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