A New Approach of Cryptographic Application via Unique Fixed Point Results in C*-Algebra Valued b$$ b $$-Metric Spaces

Rehman S. U., Ullah F., Haider M. I., Akbar S., Köksal M. E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1002/mma.70604
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we study unique fixed-point outcomes in -algebra valued metric space and their approach to constructing a chaotic system. We demonstrate some fixed-point theorems without requiring the continuity of self-mappings in the said space. In favor of our findings, we establish a nontrivial illustrative example to prove the uniqueness of fixed-point. In addition to validating our results, we present a line graph based on numerical examples to verify the inequality of our single-valued contraction condition in . Moreover, we construct a computationally efficient chaotic system for a cryptographic algorithm using a unique fixed-point of a single-valued contraction condition. However, a fixed-point contraction itself can hardly fulfill chaotic phenomena. In this connection, we design a jumping algorithm for generating large-scale chaotic data output around fixed-point. Meanwhile, we validate the chaos feature of the proposed algorithm via Lyapunov and bifurcation representation.