Lefschetz fixed point theorem for digital images

---

EGE Ö., Karaca I.

Fixed Point Theory and Applications, cilt.2013, 2013 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2013
• Basım Tarihi: 2013
• Doi Numarası: 10.1186/1687-1812-2013-253
• Dergi Adı: Fixed Point Theory and Applications
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Anahtar Kelimeler: digital image, Lefschetz fixed point theorem, Euler characteristic
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property. We conclude that sphere-like digital images have the fixed point property. ©2013 Ege and Karaca; licensee Springer.