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A unique approach to graph-based metric spaces with an application to rocket ascension

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Abstract

This article introduces the notion of controlled graphical metric type spaces, which integrates the concepts of controlled metric type spaces, extended metric type spaces, \(b-\)metric type spaces, and graphical type spaces. The associated topology of the articulated space is also researched along with the graph structure. Additionally, within the framework of controlled graphical metric type spaces, we provide various novel fixed point findings that enrich, enlarge, and renovate a variety of outcomes in the present fixed point analysis. Our findings provide relevant examples that back up our assertions. Our research is then used to determine if a nonlinear model of a rocket’s ascending motion has a solution.

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Acknowledgements

The authors appreciate the knowledgeable editors’ and referees’ insightful remarks and suggestions, which boosted the paper’s quality. The Indian Institute of Technology Kanpur is also acknowledged by the first author for funding his postdoctoral research.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India

    Mudasir Younis & Dhirendra Bahuguna

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  1. Mudasir Younis
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  2. Dhirendra Bahuguna
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Correspondence to Mudasir Younis.

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Younis, M., Bahuguna, D. A unique approach to graph-based metric spaces with an application to rocket ascension. Comp. Appl. Math. 42, 44 (2023). https://doi.org/10.1007/s40314-023-02193-1

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