Gevrey Regularity of Invariant Curves of Analytic Reversible Mappings

We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is the exponent in the small divisors condition and [inline-graphic not available: see fulltext] is the order of degeneracy of the reversible mappings. Moreover, we obtain a Gevrey normal form of the reversible mappings in a neighborhood of the union of the invariant curves.