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Fixed-Point Theorems for Max-Type Rational Contractions in Quasi-b-Metric Spaces

Author

Listed:
  • Savita Rathee
  • Nisha Balhara
  • Anil Kumar
  • Minakshi
  • Anshuka Kadyan

Abstract

In this study, we introduce a new class of contractive mappings, termed max-type rational contractions, and analyze their behavior in comparison with the standard contractions widely used in fixed-point theory. Through illustrative examples, we highlight the distinctions and advantages of the proposed contraction framework. We then establish fixed-point existence results for self-mappings satisfying both max-type rational contractive condition and Reich-type rational contractive condition within the general setting of quasi b-metric spaces. To demonstrate the applicability and robustness of our results, we provide a comparative analysis with several related existing theorems in the literature. Furthermore, as a natural consequence of the developed fixed-point results, we derive a set of coincidence point theorems.

Suggested Citation

  • Savita Rathee & Nisha Balhara & Anil Kumar & Minakshi & Anshuka Kadyan, 2026. "Fixed-Point Theorems for Max-Type Rational Contractions in Quasi-b-Metric Spaces," Journal of Mathematics, Hindawi, vol. 2026, pages 1-14, July.
    • Handle: RePEc:hin:jjmath:7756796
    DOI: 10.1155/jom/7756796
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