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

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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) identifier

  • 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
  • Yıldız Teknik Üniversitesi Adresli: Evet

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.