Common fixed-point theorems of Caristi-type mappings by using its absolute derivative

Muslikh M., Kiliçman A., bt Sapar S. H., bt Bachok N.

Applied Mathematics and Information Sciences, cilt.13, sa.1, ss.17-24, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.18576/amis/130103
  • Dergi Adı: Applied Mathematics and Information Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.17-24
  • Anahtar Kelimeler: Absolute derivative, Caristi-type mapping, Common fixed point, Set-valued
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

© 2019 NSP Natural Sciences Publishing Cor.In this article, we introduce common fixed-point theorems of Caristi-type mappings by using the absolute derivative of the mapping as a generator of its Caristi-type maps. The common fixed-point theorem that we obtain covers the single-valued and set-valued mappings. Some of the examples are given to support usability of our result.