Results 21 to 30 of about 1,776 (211)
Distance to Spaces of Semicontinuous and Continuous Functions
Journal of Function Spaces, 2019 Given a topological space X, we establish formulas to compute the distance from a function f∈RX to the spaces of upper semicontinuous functions and lower semicontinuous functions.
Carlos Angosto
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Existence of solutions for nonconvex third order differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2005 This paper proves the existence of solutions for a third order initial value nonconvex differential inclusion. We start with an upper semicontinuous compact valued multifunction $F$ which is contained in a lower semicontinuous convex function $\partial V$
Britney Hopkins
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Mathematics, 2020 A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.
Donal O’Regan
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On structure of upper semicontinuity
Journal of Mathematical Analysis and Applications, 1982 AbstractThe refinement of a Choquet theorem on (strong) upper semi-continuity and its relation to the Vainstein lemma are dealt with here. Relevance of subcontinuity is discussed. Consequently, an improvement of a characterization theorem of Dolecki and Rolewicz is achieved.
Dolecki, Szymon, Lechicki, Alojzy
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Concerning Upper Semicontinuous Decompositions of Irreducible Continua [PDF]
Proceedings of the American Mathematical Society, 1971 Let K \mathcal {K} denote the class of all compact metric continua
Transue, W. R. R. +2 more
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Upper Semicontinuous Decompositions of the n-Sphere [PDF]
Proceedings of the American Mathematical Society, 1962 We consider conditions under which an upper semicontinuous decomposition has the decomposition space which is a topological nsphere. A special emphasis is placed on the case in which the decomposition has only a countable number of nondegenerate elements.
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Jurnal Fourier, 2014 This paper discusses the basic concepts and some of semicontinuous function, begins by introducing the concept of upper limit and lower limit.
Malahayati Malahayati
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Minimax identity with robust utility functional for a nonconcave utility
Modern Stochastics: Theory and Applications, 2022 The minimax identity for a nondecreasing upper-semicontinuous utility function satisfying mild growth assumption is studied. In contrast to the classical setting, concavity of the utility function is not asumed. By considering the concave envelope of the
Olena Bahchedjioglou, Georgiy Shevchenko
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Upper semicontinuous differential inclusions without convexity [PDF]
, 1989 We prove existence of solutions to the Cauchy problem for the differential inclusion x ε A(x), when A is cyclically monotone and upper semicontinuous.
A. Cellina +3 more
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On the upper semicontinuity of a quasiconcave functional [PDF]
Journal of Functional Analysis, 2020 In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}{n-1}}\,dx$ defined on the space of $p$-summable positive definite matrices with zero divergence. We prove that this implies the weak upper semicontinuity of the functional $\
De Rosa L., Serre D., Tione R.
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