  Very recently, Berinde and P\u{a}curar obtained in [V. Berinde and M.
P\u{a}curar, Approximating fixed points of enriched contractions in Banach
spaces. Journal of Fixed Point Theory and Applications. \textbf{22}(2) (2020),
1--10.] an interesting generalization of the Banach contractive mapping
principle in the framework of Banach spaces. The aim of this paper is to prove
some fixed point theorems which extend the results of Berinde and P\u{a}curar
to the case of 2-normed spaces.
