On Rational-Type Contractive Mappings in Bi-Complex Valued Control Metric Spaces and Applications

Sarwar M., Fatima N., Shah S. K., Khan A., Abodayeh K.

European Journal of Pure and Applied Mathematics, cilt.18, sa.3, 2025 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.29020/nybg.ejpam.v18i3.6314
  • Dergi Adı: European Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Bi-complex valued controlled metric spaces, Fixed Point, Fractional Differential Equations, Rational type contractions
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This manuscript studies some unique and common fixed point results in the context of bi-complex valued control metric space(BVCMS) using rational-type inequalities. The presented work explains the idea of BVCMS and then shows the necessary criteria for a pair of contractive type mappings in this space to have common fixed points. To show how applicable our results are, we also give an example. Finally, the existence of solutions of a system of fractional differential equations has been studied using the obtained results.