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

Duru H.

TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.2, ss.293-299, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-0805-36
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.293-299
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.