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Mixed Non-Expansive and Potentially Expansive Properties of a Class of Self-Maps in Metric Spaces

2010/09/22 by M. De La Sen, De La Sen, M.
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1009.6154

9 pages

arxiv created 2010/09/22 · arxiv updated 2010/10/01

Abstract

This paper investigates self-maps T from X to X which satisfy a distance constraint in a metric space which mixed point-dependent non-expansive properties, or in particular contractive ones, and potentially expansive properties related to some distance threshold. The above mentioned constraint is feasible in certain real -world problems.

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