 99170 M. S. ElBialy
 Linearization of Contractions Near a fixed point
Satisfying a Gap Condition
(76K, latex 2e)
May 13, 99

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Abstract. In this work, we study the linearization problem for $C^{k,1}, k\geq 1,$
maps of $\mbR^{n}$ near a fixed point
which satisfies a gap condition of order $k$.
We show that for sufficiently small $\gb > 0$,
there is a $C^{k,\gb}$ linearization
in a sufficiently small neighbourhood of the fixed point.
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