P-Contractive Mappings On Metric Spaces
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.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.
Kaynak
Journal Of Nonlinear Functional AnalysisKoleksiyonlar
- Makale Koleksiyonu [302]
- WOS İndeksli Yayınlar Koleksiyonu [5647]