Some results on Continuous dependence of fractal functions on the Sierpi\'nski gasket

Abstract

In this article, we show that $\alpha$-fractal functions defined on Sierpi\'nski gasket (denoted by $\triangle$) depend continuously on the parameters involved in the construction. In the latter part of this article, the continuous dependence of parameters on $\alpha$-fractal functions defined on $\triangle$ is shown graphically.