Fixed Point Theorems in Orthogonal F-Metric Spaces
4th International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2023, Madrid, İspanya, 12 - 14 Temmuz 2023, cilt.439, ss.185-196, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 439
- Doi Numarası: 10.1007/978-3-031-49218-1_13
- Basıldığı Şehir: Madrid
- Basıldığı Ülke: İspanya
- Sayfa Sayıları: ss.185-196
- Anahtar Kelimeler: F-metric, Fixed point, Orthogonal metric, Rational type contraction
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır
Özet
F-metric spaces are defined as a generalization of metric spaces with properties of nonnegativity, self-distance, symmetry and generalized triangular inequality. Moreover, notion of orthogonal F-metric spaces are introduced given by establishing a binary relation on the set. In this work, we give some properties of orthogonal relation on a set and some topological properties of orthogonal F-metric spaces. We introduce some rational type contractions in orthogonal F-metric spaces and prove fixed point theorems for this type contraction. Our results generalize the Jaggi and Ciric type contractions.