P-CONTRACTIVE MAPPINGS ON METRIC SPACES
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, cilt.2018, 2018 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2018
- Basım Tarihi: 2018
- Doi Numarası: 10.23952/jnfa.2018.43
- Dergi Adı: JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Anahtar Kelimeler: Contractive mapping, P-contractive mapping, Fixed point, Compact metric space, FIXED-POINT THEOREMS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
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.