On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Copyright policy )On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y , where X and Y are Orlicz-Musielak F -spaces are presented.
- Polish Academy of Learning Poland
- Harbin Normal University China (People's Republic of)
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), modular spaces, sup-measurable multifunction, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Set-valued operators, Set-valued maps in general topology, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), lower or upper semi-continuity, Nemytskij operator
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), modular spaces, sup-measurable multifunction, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Set-valued operators, Set-valued maps in general topology, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), lower or upper semi-continuity, Nemytskij operator
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