99-170 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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