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

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

Studia Universitatis Babes-Bolyai Mathematica, vol.71, no.1, pp.145-162, 2026 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 71 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.24193/subbmath.2026.1.10
  • Journal Name: Studia Universitatis Babes-Bolyai Mathematica
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.145-162
  • Keywords: (α-Ω)-contraction, common fixed point, complex-valued, controlled metric space type, dynamic programming, Reich type contraction
  • Istanbul Gelisim University Affiliated: Yes

Abstract

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.