Orthogonal F-Contraction Mapping on O-Complete Metric Space with Applications

Mani, Gunaseelan; Gnanaprakasam, Arul; KAUSAR, Nasreen; Munir, Mohammad; Salahuddin, Salahuddin

doi:10.5391/ijfis.2021.21.3.243

Orthogonal F-Contraction Mapping on O-Complete Metric Space with Applications

Mani G., Gnanaprakasam A. J., KAUSAR N., Munir M., Salahuddin S.

International Journal of Fuzzy Logic and Intelligent Systems, cilt.21, sa.3, ss.243-250, 2021 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 21 Sayı: 3
Basım Tarihi: 2021
Doi Numarası: 10.5391/ijfis.2021.21.3.243
Dergi Adı: International Journal of Fuzzy Logic and Intelligent Systems
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.243-250
Anahtar Kelimeler: Fixed point, Orthogonal complete metric space, Orthogonal continuous, Orthogonal F-contraction, Orthogonal preserving, Orthogonal set
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce orthogonal concepts concerning F-contraction mappings and demonstrate some fixed-point theorems for self-mapping in a complete orthogonal metric space. Some well-known results in the literature are generalized and modified based on the demonstrated results. An example is provided to support our results, which are used in an application.