Turkish Journal of Mathematics
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