P-Contractive Mappings On Metric Spaces
Yükleniyor...
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mathematical Research Press-Math Res
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we introduce a new concept of P-contractive mappings on metric spaces. We prove that every ordinary contractive mapping is also P-contractive but the converse may not be true in general. We provide an example to illustrate this fact and also provide some examples to show that nonexpensive mappings and P-contractive mappings are independent on metric spaces. Finally, we present that every continuous P-contractive mapping on compact metric spaces has a unique fixed point. This result includes the famous Edelstein fixed point theorem.
Açıklama
Altun, Ishak/0000-0002-7967-0554
Anahtar Kelimeler
Contractive mapping, P-contractive mapping, Fixed point, Compact metric space
Kaynak
Journal Of Nonlinear Functional Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Ishak Altun, Gonca Durmaz, Murat Olgun, P-contractive mappings on metric spaces, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 43, pp. 1-7.
