Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b-Metric Spaces

Büyükkaya A., Öztürk M.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.31, sa.3, ss.61-86, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2478/auom-2023-0032
  • Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.61-86
  • Anahtar Kelimeler: Modular metric space, Multi-valued mapping, Proinov-type function, Sehgal type contraction
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b-metric space. To demonstrate the theorems, we employ a general form of (α, β) -admissible and multi-valued mappings and obtain some general results for single-valued mapping in the context of modular b-metric space.