A Study of Coupled Fixed Points in Matrix-Valued Metric Spaces
DOI:
https://doi.org/10.31305/rrijm2026.v06.n02.009Keywords:
fixed point, Metric Spaces, Non-negativity, SymmetryAbstract
Fixed-points are crucial in various mathematical and computational applications. They often represent equilibrium states in dynamic systems where no net change occurs over time. This concept is widely used in economics to find market equilibria, in physics to study stable and unstable points in physical systems, and in computer science for iterative algorithms that converge to a solution. Understanding the existence, uniqueness, and stability of fixed-points helps in analyzing the behavior of complex systems across different scientific disciplines.
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