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

Savita Rathee, Nisha Balhara, Anil Kumar, Minakshi and Anshuka Kadyan

Journal of Mathematics, 2026, vol. 2026, 1-14

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7756796

DOI: 10.1155/jom/7756796

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