Multivalued Sehgal-Proinov type contraction mappings involving rational terms in modular metric spaces

Büyükkaya A., Öztürk M.

Filomat, cilt.38, sa.10, ss.3563-3576, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 10
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2410563b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3563-3576
  • Anahtar Kelimeler: Modular metric space, Multivalued mappings, Sehgal fixed point
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This study intends to achieve new fixed point results, which will extend Seghal’s results, considering the concept of α−admissibility and Proinov type contraction comprising rational expressions for multivalued mappings in the frame of modular metric space. In addition, the viability of the outputs obtained here is demonstrated using a nonlinear integral equation.