International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

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

  • Dasari Ratna Babu*
  • Naga Koteswara Rao Koduru

    * Corresponding author

    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.

    How to Cite

    D. R. Babu, N. K. R. Koduru, Interpolative Hardy-Rogers-Type Proximal Z-Contraction Maps in b-Metric Spaces with Some Applications, Int. J. Anal. Appl. 23 (2025), 172. https://doi.org/10.28924/2291-8639-23-2025-172

    BibTeX
    @article{Babu2025,
  author  = {Babu, Dasari Ratna and Koduru, Naga Koteswara Rao},
  title   = {Interpolative Hardy-Rogers-Type Proximal Z-Contraction Maps in b-Metric Spaces with Some Applications},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {172},
  doi     = {10.28924/2291-8639-23-2025-172}
}

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