Weighted Quasi-Metrics Associated with Finsler Metrics

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Authors

  • Gauree Shanker
     Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401 ,IN
  • Sarita Rani
     Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401 ,IN

DOI:

https://doi.org/10.18311/jims/2023/31296

Keywords:

Reversible Geodesics, Weighted Quasi-Metrics, Absolute Homogeneous Metrics, Metric Structure, Perimeter, Embedding.

Abstract

The current paper deals with some new classes of Finsler metrics with reversible geodesics. We construct weighted quasi-metrics associated with these metrics. Further, we investigate some important geometric properties of weighted quasi-metric space. Finally, we discuss the embedding of quasi-metric spaces with generalized weight.

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Published

2023-03-24

How to Cite

Shanker, G., & Rani, S. (2023). Weighted Quasi-Metrics Associated with Finsler Metrics. The Journal of the Indian Mathematical Society, 90(1-2), 37–52. https://doi.org/10.18311/jims/2023/31296

Issue

Volume 90, Issue 1-2, January-June 2023

Section

Articles

License

Copyright (c) 2023 Gauree Shanker, Sarita Rani

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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