Modular Suprametric Spaces and Fixed-Point Principles with Applications in Fractional Burn-Healing Dynamics
Abstract
We introduce a new nonlinear distance structure, a modular suprametric space, that integrates modular metrics with perturbations characteristic of suprametrics. Within this framework, we develop a contraction principle tailored to its nonlinear geometry and demonstrate the existence of fixed points under a generalized iterative control. In order to showcase the practical application of this proposed structure, we analyze a burn-healing model driven by nonlinear recovery dynamics. The derived fixed-point conditions ensure both the existence and stability of the healing equilibrium. Our findings indicate that modular suprametric spaces serve as a versatile analytical tool for dynamical systems whose evolution exhibits nonstandard sensitivity, saturation effects, or exponential response behavior.
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Stability and Controllability of Differential Equations
Thermoelastic and Magnetoelastic Phenomena
Publication details
- Journal / source
- Mathematics
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 7
- Pages
- 1208–1208
- Publication date
- 3 April 2026
- Language
- EN