Results 241 to 250 of about 450,792 (279)

Weak Subdifferentials for Set-Valued Mappings

Journal of Optimization Theory and Applications, 2013
The authors investigate the weak subdifferential for set-valued mappings, which was originally introduced by \textit{G. Y. Chen} and \textit{J. Jahn} [Math. Methods Oper. Res. 48, No. 2, 187--200 (1998; Zbl 0927.90095)]. After giving some preliminaries in Section 2, two existence theorems of weak subgradients for set-valued mappings are proven in ...
Long, X. J., Peng, J. W., Li, X. B.
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Set-Valued Maps

2009
We shall gather in this chapter some of the results dealing with set-valued maps that we shall need. Only the properties of upper semicontinuous set-valued maps and, among them, the Convergence Theorem 2.4.4, and some notions on the set-valued analogues of continuous linear operators, the closed convex processes are required in the short term.
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On pseudomonotone set-valued mappings

Nonlinear Analysis: Theory, Methods & Applications, 2008
A common generalization of the algebraic and topological pseudomonotonicity for set-valued mappings in topological vector spaces is introduced. Existence results for variational inequalities governed by such maps are given.
Inoan, D., Kolumbán, J.
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Set-Valued Mappings Redux

2013
Let \( X \) and \( Y \) be two finite sets with \( \left| {\, X{\,}} \right|=m \) and \( \left| {\,Y{\,}} \right|=n ...
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Congeries Set-Valued Mappings

2017
Part I of RL is a pentateuchal exploration of the algebraic theory of set-valued mappings. It also contains the motivations and other natural philosophical reasons on why I consider them congenial and congenital morphisms for relational biology.
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Approximation of nonconvex set valued mappings

1985
The authors give a proof for the following theorem, which is a result on the approximation of a nonconvex set-valued mapping by a continuous function. Suppose that \(V\subset I\times R^ n\) and that F:V\(\to (non\)- empty compact contractible subsets of \(R^ n\}\) is an upper semicontinuous multiple valued function.
ANICHINI, GIUSEPPE, CONTI, GIUSEPPE, ZECCA, PIETRO   +2 more
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On Set-Valued Mappings

Alandalus Journal for Applied Sciences, 2014
M. A. Nasser, Deapo M. Al Rahal, Esmail A. M. Alsharabi   +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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Genome-wide enhancer maps link risk variants to disease genes

Nature, 2021
Drew T Bergman, Charles P Fulco, Philine Guckelberger   +2 more
exaly