A new approach to the Assad-Kirk fixed point theorem

ALTUN İ., OLGUN M., Minak G.

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, cilt.18, sa.1, ss.201-212, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s11784-015-0270-z
  • Dergi Adı: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.201-212
  • Anahtar Kelimeler: Fixed point, multivalued maps, F-contraction, metrically convex metric space, COMPLETE METRIC-SPACES, MULTIVALUED MAPPINGS, CONTRACTION-MAPPINGS
  • Ankara Üniversitesi Adresli: Evet

Özet

In the present paper, considering the Wardowski's technique, we give a new approach to the Assad-Kirk fixed point theorem on metrically convex metric spaces. We also provide a nontrivial example showing that our result is a proper extension of the Assad-Kirk fixed point theorem.