Results 161 to 170 of about 1,510,217 (219)

Eigenvalues of Set-Valued Operators in Banach Spaces

Set-Valued Analysis, 2005
The paper under review is a valuable mathematical contribution, especially, but not only, to the spectral theory, generalizing herewith so many areas like linear algebra, but also optimization theory (non-smoothness allowed now), dynamical systems and control theory.
Correa, Rafael, Gajardo, Pedro
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Controllers as fixed points of set-valued operators

Proceedings of Tenth International Symposium on Intelligent Control, 1995
Considers the problem of constructing a "controller" for a hybrid system which will solve the viability problem that all points of plant trajectories stay inside a given "viability set". Here, a "controller" is a network of three successive devices, a digital to analog converter, a digital program (a computer together with its control software), and an
A. Nerode, J.B. Remmel, A. Yakhnis
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Existence Theorems for Set-valued Operators in Banach Spaces

Set-Valued Analysis, 2006
For a nonempty closed convex subset \(C\) of a real Banach space \(E\), let \(N_C(x)\) be the normal cone of \(C\) at \(x\in C\), that is, \(N_C(x)=\{ x^*\in E^*: \langle x-y, x^*\rangle \geq 0\), \(\forall y\in C\}\). The authors study the existence of points \(x\in X\) satisfying \(0\in Tx\), where \(T:X\rightarrow 2^{E^*}\) is a set-valued operator ...
Shin-ya Matsushita, Wataru Takahashi
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On Single-Valuedness of Quasimonotone Set-Valued Operators

2017
A Nash problem is a noncooperative game in which the objective function of each player also depends on the decision variable of the other player. In order to solve such difficult problem, a classical approach is to write the optimality conditions of each of the problems obtaining thus a variational inequality.
D. Aussel
openaire   +2 more sources

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