Fixed points and dynamic programming in complex-valued controlled metric spaces

Creative Commons License

Guran L., Aslam M. S., Chowdhury M. S. R., Abdeljawad T.

Studia Universitatis Babes-Bolyai Mathematica, cilt.71, sa.1, ss.145-162, 2026 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.24193/subbmath.2026.1.10
  • Dergi Adı: Studia Universitatis Babes-Bolyai Mathematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.145-162
  • Anahtar Kelimeler: (α-Ω)-contraction, common fixed point, complex-valued, controlled metric space type, dynamic programming, Reich type contraction
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the concepts of (α-Ω)-contraction and Reich-type contraction within the framework of complex-valued controlled metric spaces (CVCMS). We also present related fixed point theorems for CVCMS, building on the works considered in the literature review for controlled metric type spaces. To demonstrate the practical implications and significance of our results, we provide several examples and an application in dynamic programming.