$( heta,phi)$-derivations as homomorphisms or as anti-homomorphisms on a near ring

Let $N$ be a near ring. An additive mapping $d:Nlongrightarrow N$ is said to be a $( heta,phi)$-derivation on $N$ if there exist mappings $ heta,phi:Nlongrightarrow N$ such that$d(xy)= heta(x)d(y)+d(x)phi(y)$ holds for all $x,y in N$. In the context of 3-prime and 3-semiprime nearrings, we show that for suitably-restricted $ heta$ and $phi$, there exist no nonzero $( heta,phi)$-derivations which act as a homomorphism or an anti-homomorphism on $N$ or a nonzero semigroup ideal of $N$.