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

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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 → K satisfying a mild condition has a ﬁxed point.

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