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Abstract: This is a pedagogical introduction covering maps of metric spaces, Gromov-Hausdorff distance and its "physical" meaning, and dilation structures as a convenient simplification of an exhausti...
Mixed Non-Expansive and Potentially Expansive Properties of a Class of Self-Maps in Metric Spaces
contractive maps non-expansive maps metric space fixed points
2010/12/15
This paper investigates self-maps T : X X which satisfy a distance constraint in a metric
space which mixed point-dependent non-expansive properties, or in particular contractive ones, and p...