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They all considered one mapping or a pair of commuting mappings to show the existence of invariant approximation.
Many problems in nonlinear analysis can be formulated as a problem of finding a fixed point of a certain mapping or a common fixed point of a family of mappings.
If is a - -convex mapping (or a - -concave mapping) with respect to in second argument, then for any, is a -convex mapping (or a -concave mapping) with respect to.
A mapping of X into (P X)) is called a set-valued mapping, or a multi-valued mapping.
A mapping is called a -convex mapping (or a -concave mapping) with respect to if, for any nonempty finite subset,,, with and, there exists such that.
Let be a nonempty closed convex subset of, a contractive mapping (or a weakly contractive mapping), and nonexpansive mapping with the fixed point set.
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Let A be a mapping or an algorithm from X to Y. Assume x ∈ X.
All of these sequences identify either a contig of clustered sequences located in a physical map or a single mapped location in a genetic map.
Is Ingress a canny way of co-opting people into urban mapping or, just a giant Google advert?
Was this the beginning of a map, or a war?
(Think of a subway map, or a pie chart).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com