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math.DS2023
Fractal dimension for Inhomogeneous graph-directed attractors
Shivam Dubey, Saurabh Verma
In this paper, we define inhomogeneous Graph-Directed (GD) separation conditions for a given inhomogeneous GD Iterated Function Systems (IFS), and estimate the upper box dimension…
math.DS2023★ 2 cited
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…