Existence of quasicontinuous selections for the space $2^{f R}$

Ivan Kupka

Displaying similar documents to “Existence of quasicontinuous selections for the space $2^{f R}$ ”

Non-autonomous implicit integral equations with discontinuous right-hand side

Giovanni Anello, Paolo Cubiotti (2004)

Commentationes Mathematicae Universitatis Carolinae

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We deal with the implicit integral equation $h (u (t)) = f (t, \int_{I} g (t, z) u (z) d z) for a.a. t \in I,$ where $I : = [0, 1]$ and where $f : I \times [0, λ] \to ℝ$ , $g : I \times I \to [0, + \infty [$ and $h :] 0, + \infty [\to ℝ$ . We prove an existence theorem for solutions $u \in L^{s} (I)$ where the contituity of $f$ with respect to the second variable is not assumed.

$α$ -continuous and $α$ -irresolute multifunctions

Jiling Cao, Ivan L. Reilly (1996)

Mathematica Bohemica

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Recently Popa and Noiri [10] established some new characterizations and basic properties of $α$ -continuous multifunctions. In this paper, we improve some of their results and examine further properties of $α$ -continuous and $α$ -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].

Quasicontinuous selections for compact-valued multifunctions

Ivan Kupka (1993)

Mathematica Slovaca

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Displaying similar documents to “Existence of quasicontinuous selections for the space 2 f R ”

Non-autonomous implicit integral equations with discontinuous right-hand side

α -continuous and α -irresolute multifunctions

Quasicontinuous selections for compact-valued multifunctions

Displaying similar documents to “Existence of quasicontinuous selections for the space $2^{f R}$ ”

$α$ -continuous and $α$ -irresolute multifunctions