Mohamed S. ElBialy
C^{k}$ Invariant Manifolds
for Maps of Banach Spaces
(54K, LaTeX 2e)

ABSTRACT.  In this work we give a unified proof for the existence, under the appropriate
gap conditions, of the standard invariant manifolds for a $C^{k}$
 map of a Banach space near a fixed point where $k\geq 1$ is an integer.