Let $$f$$ be any function defined on $$R$$ and let it satisfy the condition: $$|f(x) - f(y)| \leq |(x - y)^2|$$, $$\forall (x, y) \in R$$. If $$f(0) = 1$$, then:

A

$$f(x) = 0, \forall x \in R$$

B

$$f(x)$$ can take any value in $$R$$

C

$$f(x) < 0, \forall x \in R$$

D

$$f(x) > 0, \forall x \in R$$