Fixed Point Theorems for Family of Extended Interpolative Single-Valued and Multivalued αF – Contractions With Applications

Asaye Ayele and Kidane Koyas

Journal of Mathematics, 2025, vol. 2025, 1-21

Abstract: In this paper, we define extended interpolative Hardy−Rogers, Ciric−Reich−Rus, and modified Kannan-type αF−contraction mappings in the framework of partial ♭−metric spaces and establish some fixed point results for such mappings. We also define extended interpolative multivalued Hardy−Rogers, Ciric−Reich−Rus, and modified Kannan-type αF−contraction mappings and prove some fixed point theorems in complete partial ♭−metric spaces. Our findings expand upon and generalize some well-known results in the literature. Moreover, we provide nontrivial examples to verify our findings. Finally, we derive existence of solutions to nonlinear integral equations in support of our main findings.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7659081

DOI: 10.1155/jom/7659081

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