Modeling of Piecewise functions via Microsoft Mathematics: Toward a computerized approach for fixed point theorem

Abstract

This paper basically relies on topology, math-analysis & instructional programming, it details within a mathematical modeling of piecewise defined functions through strict computer programming instructions, It is also going on math-analysis of those functions & other multi-functions as well as it offers many illustrations for their impact while doing mathematics or models programming, it implicitly appears when we deal within analysis of different function topics & especially meanwhile a computerized approach for fixed-point theorem.

Keywords: Smooth piecewise , continuous piecewise , Fixed point theorem , Microsoft Mathematics program