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Molecular Oncology, EarlyView.This study identifies ARHGAP5, in addition to the frequently mutated ARHGAP35, as significantly mutated in endometrial cancer. Mutations in both genes co‐occur and are associated with their correlated downregulation. Functional CRISPR studies show that both paralogs regulate similar pathways, including actin cytoskeleton organization.
Mathilde Pinault +12 more
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A minimization theorem for a set-valued mapping [PDF]
Applied Mathematics Letters, 2008 In this paper, a new minimization theorem is obtained for a set-valued mapping and an equivalent relation between a variant of Ekeland variational principle [T.X.D. Ha, Some variants of Ekeland variational principle for a set-valued map, J. Optim. Theory
S J Li
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On Subdifferentials of Set-Valued Maps
Journal of Optimization Theory and Applications, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baier, J., Jahn, J.
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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 ...
Xian-Jun Long, J. W. Peng, Xiao-Bing Li
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2014
Chapter 9 is devoted to set-valued mappings. We study approximate fixed points of such mappings, existence of fixed points, and the convergence and stability of iterates of set-valued mappings. In particular, we consider a complete metric space of nonexpansive set-valued mappings acting on a closed and convex subset of a Banach space with a nonempty ...
Simeon Reich, Alexander J. Zaslavski
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Chapter 9 is devoted to set-valued mappings. We study approximate fixed points of such mappings, existence of fixed points, and the convergence and stability of iterates of set-valued mappings. In particular, we consider a complete metric space of nonexpansive set-valued mappings acting on a closed and convex subset of a Banach space with a nonempty ...
Simeon Reich, Alexander J. Zaslavski
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Fuzzy integrals for set-valued mappings
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sung Jin Cho +3 more
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1998
Here we deal with some properties of set-valued mappings. These properties will be applied in our further considerations. The notion of a setvalued mapping is a generalization (in a certain sense) of the notion of an ordinary mapping. First, let us recall that a set-valued mapping (or a multi-valued mapping, or a multi-valued function) is a mapping of ...
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Here we deal with some properties of set-valued mappings. These properties will be applied in our further considerations. The notion of a setvalued mapping is a generalization (in a certain sense) of the notion of an ordinary mapping. First, let us recall that a set-valued mapping (or a multi-valued mapping, or a multi-valued function) is a mapping of ...
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Minimax Theorems for Set-Valued Mappings
Journal of Optimization Theory and Applications, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, S. J., Chen, G. Y., Lee, G. M.
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On continuity of set-valued mappings
Topology and its Applications, 2022The main results concern conditions on a topological space \(Y\) under which for a topological (possibly Baire) space \(X\) every upper or lower, or upper and lower quasi-continuous nonempty compact-valued mapping \(F:X\to K(Y)\) is upper or lower semi-countinuous at points of a residual subset of \(X\).
Ľubica Holá +1 more
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2008
In robust control theory, an uncertain dynamical system is described by a set of models rather than a single model. For example, a system with an unknown parameter generates a set of models, one for each possible value of the parameter; likewise for a system with an unknown disturbance (which can be a function of time as well as state variables and ...
Randy A. Freeman, Petar Kokotović
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In robust control theory, an uncertain dynamical system is described by a set of models rather than a single model. For example, a system with an unknown parameter generates a set of models, one for each possible value of the parameter; likewise for a system with an unknown disturbance (which can be a function of time as well as state variables and ...
Randy A. Freeman, Petar Kokotović
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