Integral type contractions in partial metric spaces
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
It is known that history of mathematics is old as history of humanity. Mathematics covered a distance significantly from ancient age to now. Recently, there are many important works for modern mathematics([6],[8]). Let X be a nonempty set and f : X ? X be a mapping. If f (x) = x, for some x ? X, then x is fixed point of f . Banach fixed point theorem was introduced in 1922 in complete metric spaces as “(X, d) be a complete metric space and f : X ? X be a self-mapping. If there exists 0 ? k < 1 such that d (f x, f y) ? kd (x, y) for all x, y ? X. Then f has unique fixed point”([1]). Partial metric spaces were introduced by Matthews (1994) as a generalisation of usual metric spaces where the self distance for any point need not be equal to zero. In this work, we define generalized integral type F?contractions and prove common fixed point theorems for four mappings satisfying these types contractions in partial metric spaces.
Açıklama
Anahtar Kelimeler
Fixed point, F-contaction, İntegral type contraction, Partial metric
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Öztürk, V., Türkoğlu, D. (2019). Integral type contractions in partial metric spaces. International Conference of Mathematical Sciences. s. 030031(1)-030031(4).
