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that is, and the -proximal mapping of is well defined.
The normalized duality mapping of is denoted by, that is, (2.4).
A mapping of is said to be a -strict pseudocontraction if there exists a constant such that (1.3).
A mapping of is said to be a -strict pseudocontraction if there exists a constant such that (1.2). for all ; see [1].
Also, if is smooth, that is, the duality mapping of is single valued then a retraction of onto is sunny and nonexpansive if and only if, for all [6, 11].
The global convergence of both the exact version and the inexact version of the new algorithm was proved under mild assumptions; that is, the underlying mapping of is monotone and there is at least one solution of the problem.
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Note that the domain of the self-map of is while that of is.
Today, the map of Europe is being redrawn in Afghanistan.
Geo-maps of were produced by using ESRI® ArcGIS system (Environmental Systems Research Institute, Inc., USA).
Sampling, description, and mapping of soils is considerably simpler, however.
Geographical mapping of poverty is a rapidly emerging issue.
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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