Fixed Point Theorems for Kannan and Chatterjea-Type Mappings in Cone Metric Spaces via Symmetric Difference Metrics

A. This paper establishes novel fixed point theorems for Kannan-type and Chatterjea-type mappings in cone metric spaces induced by symmetric difference metrics.By integrating measure-theoretic pseudometrics with cone-valued distances, we generalize classical fixed point results to a multivalued framework.Our approach leverages the algebraic properties of symmetric differences and cone-valued measures to develop contraction conditions that ensure the existence and uniqueness of fixed points modulo null sets.Applications include measurable space transformations, set-valued dynamical systems, and interval mappings under uncertainty.The results significantly extend the applicable scope of fixed point theory in analysis and applied mathematics.