Results 201 to 210 of about 11,703 (241)
Some of the next articles are maybe not open access.
Mathematical Notes of the Academy of Sciences of the USSR, 1977
It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
openaire +2 more sources
It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
openaire +2 more sources
Upper semicontinuity of Nemytskij operators
Annali di Matematica Pura ed Applicata, 1991The authors give a growth condition on a multivalued nonlinear function \(G=G(\lambda,u)\), under which the upper semicontinuity of the function \(G(\lambda,\cdot)\) implies the upper semicontinuity of the multivalued Nemytskij operator generated by \(G\) between two Lebesgue-Bochner spaces. Similar results have been given by the reviewer, \textit{H. T.
CELLINA, ARRIGO +2 more
openaire +2 more sources
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 ...
openaire +2 more sources
Upper semicontinuity of joint spectra
2022This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
openaire +1 more source
Upper semicontinuity of parametric projections
Set-Valued Analysis, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Upper semicontinuous representations of interval orders
Mathematical Social Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BOSI, GIANNI, Zuanon M.
openaire +3 more sources
Regularity of upper semicontinuous fuzzy measures
2012 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS), 2012In this note, a kind of regularity of fuzzy measures is discussed by using weakly null-additivity of set function and an equivalence condition for Egoroff's theorem. A version of Egoroff's theorem and Lusin's theorem for upper semicontinuous fuzzy measures on a metric space is shown, respectively.
Jun Li, Chen Li
openaire +1 more source
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 ...
openaire +1 more source
Upper-Semicontinuously Directionally Differentiable Functions
1985A.generalized approximation of the subdifferential called the (e,µ)-subdifferential is introduced for upper-semicontinuously directionally differentiable functions. The most attractive and important property of the (e,µ)-subdifferential is that it can be taken to be a continuous mapping; this, in its turn, allows us to construct numerical methods for ...
openaire +1 more source