Interpolative Hardy-Rogers-Type Proximal Z-Contraction Maps in b-Metric Spaces with Some Applications

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DOI: https://doi.org/10.28924/2291-8639-23-2025-172
Published: Jul 16, 2025
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Dasari Ratna Babu, Naga Koteswara Rao Koduru, Interpolative Hardy-Rogers-Type Proximal Z-Contraction Maps in b-Metric Spaces with Some Applications, Int. J. Anal. Appl., 23 (2025), 172.

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Dasari Ratna Babu, Naga Koteswara Rao Koduru

Abstract

Several known types of contractions involving the combination of d(fx, fy) and d(x, y) are unified by the simulation function and the concept of Z-contraction concerns ζ, which generalizes the Banach contraction principle. Our findings build upon or generalize a number of findings in the literature. In this study, we develop interpolative Hardy-Rogers-type proximal Z-contraction maps and demonstrate the existence and uniqueness of the best proximity points in complete b-metric spaces. We illustrate our findings with examples. We provide some pertinent applications.

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