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Averaging operators and set-valued maps
2016We investigate maps admitting, in general, non-linear averaging operators. Characterizations of maps admitting a normed, weakly additive averaging operator which preserves max (resp., min) and weakly preserves min (resp., max) is obtained. We also describe set-valued maps into completely metrizable spaces admitting lower semi-continuous selections.
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On Nemytskij operator in the space of absolutely continuous set-valued functions
Journal of Applied Analysis, 2011Summary: We consider the Nemytskij operator, defined by \((N\phi)(x) := G(x, \phi(x))\), where \(G\) is a given set-valued function. It is shown that if \(N\) maps \(AC(I, C)\), the space of all absolutely continuous functions on the interval \(I := [0, 1]\) with values in a cone \(C\) in a reflexive Banach space, into \(AC(I, \mathcal K)\), the space ...
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Monotone operators in stochastic set-valued equations
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +1 more source
Characterizations of matrix-valued asymmetric truncated Hankel operators
Banach Journal of Mathematical Analysis, 2023Ji Eun Lee
exaly
Approximation of Set-Valued Functions
2013Nira Dyn, Elza M. Farkhi, Alona Mokhov
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