A note about Intrinsically Lipschitz constants
Daniela Di Donato
TL;DR
This paper explores properties of intrinsically Lipschitz constants in metric spaces, providing formulas for the intrinsic slope, which advances understanding of these mathematical objects.
Contribution
It introduces Leibniz and product formulas for the intrinsic slope of intrinsically Lipschitz graphs, expanding theoretical knowledge in metric space analysis.
Findings
Leibniz formula for intrinsic slope
Product formula for intrinsic slope
Enhanced understanding of intrinsically Lipschitz constants
Abstract
Recently, Le Donne and the author introduce a notion of intrinsically Lipschitz graphs in metric spaces. The idea of this paper is to investigate about the properties of the intrinsically Lipschitz constants. More precisely, we give the Leibniz formula and the product formula for the intrinsic slope.
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Taxonomy
TopicsFixed Point Theorems Analysis · Optimization and Variational Analysis · Advanced Topology and Set Theory