Digital fixed points, approximate fixed points, and universal functions

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Boxer L., EGE Ö., Karaca I., Lopez J., Louwsma J.

Applied General Topology, cilt.17, sa.2, ss.159-172, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.4995/agt.2016.4704
  • Dergi Adı: Applied General Topology
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.159-172
  • Anahtar Kelimeler: Digital image, Digital topology, Digitally continuous, Fixed point
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

A. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In the current paper, we obtain additional results concerning fixed points and approximate fixed points of digitally continuous functions. Among these are several results concerning the relationship between universal functions and the approximate fixed point property (AFPP).