-linear algebra in economics and physics.
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Displaying 1 – 10 of 10
Second order differentiability and Lipschitz smooth points of convex functionals
Eva Matoušková, Luděk Zajíček (1998)
Czechoslovak Mathematical Journal
Separation theorems for sets in product spaces and equivalent assertions
Jörg Thierfelder (1991)
Kybernetika
Shape optimization of elasto-plastic bodies
Zuzana Dimitrovová (2001)
Applications of Mathematics
Existence of an optimal shape of a deformable body made from a physically nonlinear material obeying a specific nonlinear generalized Hooke’s law (in fact, the so called deformation theory of plasticity is invoked in this case) is proved. Approximation of the problem by finite elements is also discussed.
Singularities and equicontinuity of certain families of set-valued mappings
Tiberiu Trif (1998)
Commentationes Mathematicae Universitatis Carolinae
In the present paper we establish an abstract principle of condensation of singularities for families consisting of set-valued mappings. By using it as a basic tool, the condensation of the singularities and the equicontinuity of certain families of generalized convex set-valued mappings are studied. In particular, a principle of condensation of the singularities of families of closed convex processes is derived. This principle immediately yields the uniform boundedness theorem stated in [1, Theorem...
Slice convergence : stabilité et optimisation dans les espaces non réflexifs
Khalid El Hajioui, Driss Mentagui (2004)
ESAIM: Control, Optimisation and Calculus of Variations
Il est démontré par Mentagui [ESAIM : COCV 9 (2003) 297-315] que, dans le cas des espaces de Banach généraux, la convergence d’Attouch-Wets est stable par une classe d’opérations classiques de l’analyse convexe, lorsque les limites des suites d’ensembles et de fonctions satisfont certaines conditions de qualification naturelles. Ceci tombe en défaut avec la slice convergence. Dans cet article, nous établissons des conditions de qualification uniformes assurant la stabilité de la slice convergence...
Slice convergence: stabilité et optimisation dans les espaces non réflexifs
Khalid El Hajioui, Driss Mentagui (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Il est démontré par Mentagui [ESAIM: COCV9 (2003) 297-315] que, dans le cas des espaces de Banach généraux, la convergence d'Attouch-Wets est stable par une classe d'opérations classiques de l'analyse convexe, lorsque les limites des suites d'ensembles et de fonctions satisfont certaines conditions de qualification naturelles. Ceci tombe en défaut avec la slice convergence. Dans cet article, nous établissons des conditions de qualification uniformes assurant la stabilité de la slice convergence...
Star-products on symplectic manifolds
de Wilde, M. (1984)
Proceedings of the 12th Winter School on Abstract Analysis
Stiemke theorem as a toll for some mathematical models of economics
Tatiana Hoerová, Ivo Marek (2002)
Acta Universitatis Carolinae. Mathematica et Physica
Structural Properties of Solutions to Total Variation Regularization Problems
Wolfgang Ring (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In dimension one it is proved that the solution to a total variation-regularized least-squares problem is always a function which is "constant almost everywhere" , provided that the data are in a certain sense outside the range of the operator to be inverted. A similar, but weaker result is derived in dimension two.
Currently displaying 1 – 10 of 10
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