By virtue of enormous properties of discontinuous chaos and their reactivity to the earliest conditions, the discontinuous unidimensional equations are applied boundless in numerous applications of engineering and science like weather forecasting, cryptography, security system etc. This paper concerns with the study of the Sine logistic map through Mann orbit, which is a superior feedback technique. In this examination, we found that the growth rate parameter r is inversely proportional to the parameter α, that is, as we decrease the parameter α, the value of r increases rapidly. Here, we executed Mann iterative procedure on the Sine logistic map by performing time-series evaluation, period- doubling graphs, functional plots and by calculating Lyapunov exponents. We investigated the dynamic properties of the superior system for different values of parameter α = 0.9, 0.6, and 0.4