Fixed points of non Newtonian contraction mappings on non Newtonian metric spaces      
Yazarlar (3)
Doç. Dr. Demet BİNBAŞIOĞLU ÖZATILGAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Duran Türkoǧlu
Gazi Üniversitesi, Türkiye
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Journal of Fixed Point Theory and Applications
Dergi ISSN 1661-7738 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 03-2016
Cilt No 18
Sayı 1
Sayfalar 213 / 224
DOI Numarası 10.1007/s11784-015-0271-y
Makale Linki http://link.springer.com/10.1007/s11784-015-0271-y
Özet
The study of non-Newtonian calculi was started in 1972 by Grossman and Katz. These calculi provide an alternative to the classical calculus and they include the geometric, anageometric and bigeometric calculi, etc. Recently, Çakmak and Başar (2002) have studied the concept of non-Newtonian metric. Also they have given the triangle and Minkowski’s inequalities in the sense of non-Newtonian calculus. In this paper, we introduce a fixed point theory by defining some topological structures of the relevant non-Newtonian metric space.
Anahtar Kelimeler
11U10 | 26A06 | 47H10 | 54H25