  We introduce a large class of mappings, called enriched contractions, which
includes, amongst many other contractive type mappings, the Picard-Banach
contractions and some nonexpansive mappings. We show that any enriched
contraction has a unique fixed point and that this fixed point can be
approximated by means of an appropriate Kransnoselskij iterative scheme.
Several important results in fixed point theory are shown to be corollaries or
consequences of the main results in this paper. We also study the fixed points
of local enriched contractions, asymptotic enriched contractions and Maia type
enriched contractions. Examples to illustrate the generality of our new
concepts and the corresponding fixed point theorems are also given.
