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

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

2010-09-22

arxiv.org/abs/1009.6154v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

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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