Category:Definitions/Extrema of Mappings

This category contains definitions related to Extrema of Mappings.
Related results can be found in Category:Extrema of Mappings.

Let $S$ be a set.

Let $\struct {T, \preccurlyeq}$ be a totally ordered set.

Let $f: S \to T$ be a mapping.

Let $x \in S$ be such that $\map f x$ is an extremum of $\struct {T, \preccurlyeq}$.

Then $x$ is known as an extremum of $f$.