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On Set-Valued Mappings

Alandalus Journal for Applied Sciences, 2014
M. A. Nasser   +2 more
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Principles of Set-Valued Mappings

2013
When a mapping \( f\,:\,X\to Y \) is represented in the element-chasing version \( f\,:\,a\mapsto b \) (where \( a\in X \) and \( b=f(a)\in Y \)), its relational diagram may be drawn as a network with three nodes and two directed edges, that is, a directed graph (or digraph for short):
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Regularity of Set-Valued Mappings

2011
Let \( {M}:{E}\rightrightarrows {F} \) be a set-valued mapping defined from a Hausdorff topological vector space E into a normed space F and let \((\bar {x}, \bar{y})\) be a point in E × F.
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Set-Valued Maps

1984
Jean-Pierre Aubin, Arrigo Cellina
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Fan’s inequality for set-valued maps

Nonlinear Analysis: Theory, Methods & Applications, 2001
Georgiev, Pando Gr., Tanaka, Tamaki
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Mappings versus Set-Valued Functions

2012
Inverse limits with upper semicontinuous bonding functions exhibit fundamental differences from inverse limits with mappings in the sense that the theorems that hold when the bonding functions in an inverse limit sequence are mappings almost always fail if the bonding functions are set-valued.
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Derivatives of Set-Valued Map

2008
Jean-Pierre Aubin, Hèléne Frankowska
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