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Weak Subdifferentials for Set-Valued Mappings
Journal of Optimization Theory and Applications, 2013The 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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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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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, 2008A 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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2013
Let \( X \) and \( Y \) be two finite sets with \( \left| {\, X{\,}} \right|=m \) and \( \left| {\,Y{\,}} \right|=n ...
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Let \( X \) and \( Y \) be two finite sets with \( \left| {\, X{\,}} \right|=m \) and \( \left| {\,Y{\,}} \right|=n ...
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A Feller Transition Kernel with Measure Supports Given by a Set-Valued Mapping
Proceedings of the Steklov Institute of Mathematics, 2020S. Smirnov
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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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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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Approximated set-valued mapping approach for handling multiobjective bilevel problems
Computers & Operations Research, 2017Ankur Sinha, P. Malo, K. Deb
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Approximation of nonconvex set valued mappings
1985The 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 +2 more
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A risk assessment model of uncertainty system based on set-valued mapping
Journal of Intelligent & Fuzzy Systems, 2016Xiaoxia Wang +3 more
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