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Upper Semicontinuous Collections of Continua in Class W [PDF]

open access: yesProceedings of the American Mathematical Society, 1983
A continuum is proven to be in Class W W if it can be decomposed into an upper semicontinuous collection of
openaire   +2 more sources

Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

open access: yesFixed Point Theory and Applications, 2009
A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex ...
R. P. Agarwal   +3 more
doaj   +1 more source

Discretization methods for nonconvex differential inclusions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2009
We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function ...
M. Yarou
doaj   +1 more source

Viable solutions for second order nonconvex functional differential inclusions

open access: yesElectronic Journal of Differential Equations, 2005
We prove the existence of viable solutions for an autonomous second-order functional differential inclusions in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the subdifferential of a ...
Vasile Lupulescu
doaj  

Upper semicontinuity of the lamination hull [PDF]

open access: yesESAIM: Control, Optimisation and Calculus of Variations, 2018
Let  K ⊆ ℝ2×2 be a compact set, let Krc be its rank-one convex hull, and let L (K) be its lamination convex hull. It is shown that the mapping K ↦ L̅(K̅) is not upper semicontinuous on the diagonal matrices in ℝ2×2, which was a problem left by Kolář. This is followed by an example of a 5-point set of 2 × 2 symmetric matrices with non-compact lamination
openaire   +3 more sources

Upper semicontinuity of automorphism groups

open access: yesMathematische Annalen, 1994
The authors prove striking results on upper semicontinuity of automorphism groups. They show, for example, that if pairs \((M_j, G_j)\) \((M_j\) connected complex manifolds and \(G_j\) subgroups of \(\Aut (M_j))\) converge on compacta to a pair \((M,G)\), where \(M\) is a hyperbolic complex manifold and \(G\) is a subgroup of \(\Aut (M)\), then \(G_j\)
Fridman, Buma L., Poletsky, Evgeny A.
openaire   +2 more sources

The Wu metric is not upper semicontinuous [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
In this article a question asked in [\textit{M. Jarnicki} and \textit{P. Pflug}, Proc. Am. Math. Soc. 133, 239--244 (2005; Zbl 1051.32009)] is discussed, namely: Are the Wu metrics, associated to the Azukawa and the Kobayashi metric, respectively, upper semicontinuous?
openaire   +2 more sources

A viability result for second-order differential inclusions

open access: yesElectronic Journal of Differential Equations, 2002
We prove a viability result for the second-order differential inclusion $$ x''in F(x,x'),quad (x(0), x'(0))=(x_0,y_0)in Q:=Kimes Omega, $$ where $K$ is a closed and $Omega$ is an open subsets of $mathbb{R}^m$, and is an upper semicontinuous set-valued ...
Vasile Lupulescu
doaj  

Fixed point index approach for solutions of variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
By using fixed point index approach for multivalued mappings, the existence of nonzero solutions for a class of generalized variational inequalities is studied in reflexive Banach space.
Yisheng Lai, Yuanguo Zhu, Yinbing Deng
doaj   +1 more source

Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness

open access: yesAxioms, 2017
Looking at decisiveness as crucial, we discuss the existence of an order-preserving function for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference relation.
Paolo Bevilacqua   +2 more
doaj   +1 more source

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