Peer ReviewedOpen Access
USING SPACE AND OPERATORS IN A FIXED POINT APPROACH TO TRAFFIC FLOW DYNAMICS
Lekha Dey, Raksha Rani Agrawal
Paper ID: IJSRMES2026028Pages: 1–12
Keywords: Nonlinear Operator Theory, Quasi-Partial Metric Spaces, Traffic Flow Dynamics, Fixed Point Theory
Abstract
In this paper, build a unique mathematical framework that combines nonlinear operator theory with quasi-partial metric spaces to model traffic flow dynamics. Our method naturally captures asymmetric travel delays and congestion effects, in contrast to traditional models based on Euclidean or Banach spaces. We provide a traffic evolution operator on a quasi-partial metric space and use fixed point theory to prove the presence and distinctiveness of Stability. There is discussion of applications related to intelligent transportation systems and network congestion.
Cite this Article
L. Dey and R. R. Agrawal, “Using Space and Operators in a Fixed Point Approach to Traffic Flow Dynamics,” Int. J. Sci. Res. Mod. Eng. Sci., vol. 1, issue 4, pp. 1–12, 2026.
