Tropical Polynomial of Partial Contraction Transformation Semigroup

  • A. Ibrahim Department of Mathematics, Faculty of Science, University of Abuja, Nigeria.
  • S. B. Oluwafemi Department of Mathematics, Faculty of Science, University of Abuja, Nigeria.
  • B. S. Musa Department of Mathematics, Gombe State University, Gombe, Nigeria
  • J. C. Ahmadu Department of Mathematics, Faculty of Science, University of Abuja, Nigeria.
  • K. S. Agwazah Department of Mathematics, Faculty of Science, University of Abuja, Nigeria.
DOI: https://doi.org/10.6084/zenodo.10384737
Keywords: Multiplicity, Partial contraction, Root, Tropical geometry, Tropical polynomial, Partial transformation semigroup

Abstract

In this paper, we used tropical geometry on a partial transformation semigroup to create a tropical polynomial on a partial contraction mapping. Then we used the tropical polynomial to obtain a contraction mapping and plot tropical curves. Finally, we were able to find the roots of the tropical curve and determine their multiplicities.

Published
2023-12-05
How to Cite
Ibrahim, A., Oluwafemi, S. B., Musa, B. S., Ahmadu, J. C., & Agwazah, K. S. (2023). Tropical Polynomial of Partial Contraction Transformation Semigroup. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 9(2), 102 - 120. https://doi.org/10.6084/zenodo.10384737
Issue
Vol 9 No 2 (2023)
Section
Articles

Copyright (c) 2023 A. Ibrahim, S. B. Oluwafemi, B. S. Musa, J. C. Ahmadu, K. S. Agwazah

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