Caristi-Type Fixed Point Theorems and Some Generalizations on M-Metric Space

ALTUN İ., ŞAHİN H., Turkoglu D.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.43, sa.3, ss.2647-2657, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40840-019-00823-8
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.2647-2657
  • Anahtar Kelimeler: M-metric space, Fixed point, Single valued mapping, MAPPINGS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, taking into account Caristi's fixed point results on both metric spaces and partial metric spaces, we present their some extensions and generalizations on M-metric spaces. First, by providing a counter example, we noticed that a recent result on Caristi-type fixed point theorem on M-metric space is not suitable. Then we propounded two versions of Caristi's inequality and proved some related fixed point results on M -metric space.