Construction of Fractal Functions Using Kannan Mappings and Smoothness Analysis

Subhash Chandra, Saurabh Verma, Syed Abbas

Let T be a self-map on a metric space (X, d). Then T is called the Kannan map if there exists α, 0 < α< 1/2, such that d(T(x), T(y)) <= α[d(x, T(x)) + d(y, T(y))], for all x, y in…