Document Type

Article

Publication Date

2004

Abstract

Fixed-point theory of one-dimensional maps of R does not completely address the issue of non-hyperbolic fixed points. This paper generalizes the existing tests to completely classify all such fixed points. To do this, a family of operators are exhibited that are analogous to generalizations of the Schwarzian derivative. In addition, a family of functions f are exhibited such that the MacLaurin series of f(f(x)) and x are identical.

Document Object Identifier (DOI)

10.1155/S0161171204306253

Publication Information

International Journal of Mathematics and Mathematical Sciences

Included in

Mathematics Commons

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