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February 28, 2026Fixed Point Theory and Algorithms for Sciences and EngineeringOpen Access

New perturbed parametric metric spaces for distance modeling: fixed-point analysis with applications to the fixed-circle problem

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Authors

AMAbdelhamid MoussaouiNTNi̇hal Taş

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Overview

Introduces Perturbed Parametric Metric Spaces, demonstrating their applications in nonlinear analysis and distance measurement.

Key Points

  • The aim is to introduce a new generalization of metric spaces for improved distance measurement in complex systems.
  • Developed foundational properties of Perturbed Parametric Metric Spaces (PPMS)
  • Initiated topological notions associated with PPMS
  • Established fixed-point theorems applicable to the fixed-circle problem
  • Provided illustrative examples to clarify the framework
  • PPMS framework offers a flexible, robust treatment of distance measurement
  • Illustrated how PPMS generalizes existing metric-type spaces
  • Demonstrated applicability of PPMS in nonlinear analysis

Cite This Study

Moussaoui et al. (2026) studied this question.

synapsesocial.com/papers/69a286850a974eb0d3c018c7https://doi.org/10.1186/s13663-026-00829-5
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