This theoretical article studies mappings that contract triangle perimeters in interpolative metric spaces. It establishes a necessary-and-sufficient fixed-point condition, extends Kannan-type results beyond ordinary metric spaces and proposes a sufficient uniqueness condition with examples. Its contribution is mathematical generalisation rather than empirical evidence.
Key findings
- The study derives a necessary and sufficient condition for fixed-point existence in the mapping class, generalises a Kannan-type metric-space result to interpolative metric spaces and gives an adequate condition for uniqueness.
Why this matters globally
The results may support convergence analysis of iterative algorithms or nonlinear equations in generalised-distance settings, but every application must verify the theorem's assumptions.
Thai researcher contribution
Wutiphol Sintunavarat of Thammasat University is the Thai-affiliated author in this fixed-point and nonlinear-analysis study.
Limitations to consider
The abstract omits full assumptions. Genuine generality requires checking that definitions and theorems do not reduce to known metric results. Illustrative examples establish feasibility, not application performance.