The Fixed-Point Theory of Strictly Contracting Functions on Generalized Ultrametric Semilattices

We introduce a new class of abstract structures, which we call generalized ultrametric semilattices, and in which the meet operation of the semilattice coexists with a generalized distance function in a tightly coordinated way. We prove a constructive fixed-point theorem for strictly contracting fun...

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Bibliographic Details
Main Authors: Eleftherios Matsikoudis, Edward A. Lee
Format: Article
Language:English
Published: Open Publishing Association 2013-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1309.0894v1