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Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves

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  • Xinyu Yao
  • Haiming Liu

Abstract

The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular multiplicative plane curves. In addition, we elucidate the connection between the multiplicative evolutoids and the multiplicative pedaloids of a regular multiplicative plane curve. Next, we extend the definitions of multiplicative evolutoids and pedaloids to encompass the multiplicative frontal curves. Finally, we present two examples to demonstrate the main results.

Suggested Citation

  • Xinyu Yao & Haiming Liu, 2025. "Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:9925055
    DOI: 10.1155/ijmm/9925055
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    References listed on IDEAS

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    1. Diana A. Filip & Cyrille Piatecki, 2014. "A non-newtonian examination of the theory of exogenous economic growth," Working Papers hal-00945781, HAL.
    2. Xin Zhao & Donghe Pei, 2021. "Pedal Curves of the Mixed-Type Curves in the Lorentz-Minkowski Plane," Mathematics, MDPI, vol. 9(22), pages 1-11, November.
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