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On the existence conditions of interaction indices in response surface models. [PDF]
Yumuk E, Ionescu C.
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Realist review of managed alcohol programmes for people experiencing alcohol dependence and homelessness: what works, for whom, and in what circumstances? [PDF]
Carver H +5 more
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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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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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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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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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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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Cosmically Lipschitz Set-Valued Mappings
Set-Valued Analysis, 2002In view of applications to necessary optimality conditions in optimal control, to the theory of Hamilton-Jacobi equations and to invariant sets for differential inclusions, the author proves a large number of results (some 9 theorems, 6 propositions and 8 lemmas) concerning, mainly, the so-called ``cosmic Lipschitzianity'' of set-valued mappings ...
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Convexity Criteria for Set-Valued Maps
Set-Valued Analysis, 1997The paper gives necessary and sufficient conditions for a set-valued function \(F\) between Banach spaces \(X\) and \(Y\) to be convex with respect to a convex cone \(K\subset Y\), i.e., to satisfy \[ tF(x_1)+ (1-t)F(x_2)\subset\text{cl}(F(tx_1+ (1-t)x_2)),\quad x_1,x_2\in X,\quad t\in[0,1].
Pham Huu Sach, Nguyen Dong Yen
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