On Modified Interpolative Almost ε-Type Contraction in Partial Modular b-Metric Spaces

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Kesik D., Büyükkaya A., Öztürk M.

Axioms, cilt.12, sa.7, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/axioms12070669
  • Dergi Adı: Axioms
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: interpolative contraction, partial modular b-metric space, simulation function
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The current study attempts to identify a new generalized metric space structure, referred to as partial modular (Formula presented.) metric, that extends both partial modular metric space via (Formula presented.) metric space and explains the topological aspects of the new space implementing examples. In addition, a new contraction mapping referred to as modified interpolative almost (Formula presented.) type contraction is determined, which is an interpretation of interpolative contraction bestowed with almost contraction and (Formula presented.) contraction as well as a simulation function and a fixed point theorem that encompass such mappings in the context of partial modular (Formula presented.) metric space is demonstrated. In conclusion, an example and an application that endorse the main theorem’s outcomes are offered.