In a recent paper, Çeven and Öztürk have generalized the notion of derivation on a lattice to *f*-derivation, where *f* is a given function of that lattice into itself. Under some conditions, they have characterized the distributive and modular lattices in terms of their isotone *f*-derivations. In this paper, we investigate the most important properties of isotone *f*-derivations on a lattice, paying particular attention to the lattice (resp. ideal) structures of isotone *f*-derivations and the sets of their *f*-fixed points. As applications, we provide characterizations of distributive lattices and principal ideals of a lattice in terms of principal *f*-derivations.

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