The uniqueness and existence of solutions in a new complex function space for Kannan nonlinear dynamical systems

This paper explores the topological and geometric characteristics of a novel complex function space.We do this by constructing a weighted binomial matrix within the Nakano space of absolute type.The fixed points of Kannan contraction and non-expansive operators are associated with these structures.To solve Volterra-type summable equations, one can analyze practical instances and their applications.