We present an implicit function theorem for set-valued maps associated with the solutions of generalized equations. As corollaries of this theorem, we derive both known and new results. Strong ...

The main goal of the paper is to obtain explicit integral representations of implicit functions whose existence is guaranteed by the implicit function theory. We derive the mentioned representation ...

The article offers a long explanation of functions, including: input, output and their relationship; sets; the rules of functions; examples of when a relationship between numbers or sets is NOT a ...