  In this paper, we introduce and study the class of {\it enriched strictly
pseudocontractive mappings} in Hilbert spaces and extend the corresponding
convergence theorem (Theorem 12) in [Browder, F. E., Petryshyn, W. V., {\it
Construction of fixed points of nonlinear mappings in Hilbert space}, J. Math.
Anal. Appl. {\bf 20} (1967), 197--228] and Theorem 3.1 in [Marino, G., Xu,
H.-K., {\it Weak and strong convergence theorems for strict pseudo-contractions
in Hilbert spaces}, J. Math. Anal. Appl. {\bf 329} (2007), no. 1, 336--346],
from the class of strictly pseudocontractive mappings to that of enriched
strictly pseudocontractive mappings and thus include many other important
related results from literature as particular cases.
