monotonically nondecreasing

A sequence $(s_n)$ (with real elements) is called monotonically nondecreasing if

$$s_m\ge s_n\forall m>n$$

Similarly, a real function $f(x)$ is called monotonically nondecreasing if

$$f(x)\ge f(y)\forall x>y$$

Compare this to monotonically increasing.

Conflict note. In other contexts, such as [1], this is called monotonically increasing (despite the fact that the sequence could be “flat.” In such a context, our definition of “monotonically increasing” is called strictly increasing.