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Upper Semicontinuity of Duality and Preduality Mappings [PDF]
In their paper studying Hausdorff weak upper semicontinuity of duality and preduality mappings on the dual of a Banach space, Godefroy and Indumathi related these by an interesting geometrical property. This property actually characterises Hausdorff upper semicontinuity of the preduality mapping.
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Upper semicontinuity of set-valued functions
Journal of Optimization Theory and Applications, 1983Various types of upper semcontinuity properties for set-valued functions have been used in the past to obtain closure and lower closure theorems in optimal control theory as well as selection theorems and fixed-point theorems in topology. This paper unifies these various concepts by using semiclosure operators, extended topologies, and lattice ...
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Upper Semicontinuous Decompositions of E 3
The Annals of Mathematics, 1957In this paper it is shown that monotone upper semicontinuous decompositions of E3 satisfying certain additional conditions have decomposition spaces which are topologically equivalent to E3. When these results were first obtained several years ago, we had some misgivings about imposing certain of these conditions since it was not known at that time ...
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On the upper semicontinuity of the Hamiltonian
1981We give upper semicontinuity results for Fenchel's conjugate (with respect to v) of a function L(u,v).
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Existence and upper semicontinuity of attractors for a class of non-Newtonian micropolar fluids
Partial Differential Equations and Applications, 2021M. Freitas +3 more
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Initial Upper Palaeolithic humans in Europe had recent Neanderthal ancestry
Nature, 2021Mateja Hajdinjak +2 more
exaly
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping
Applied Mathematics & OptimizationYuming Qin, Xiaoyue Han
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