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Keywords:
set-valued mapping; l.s.c. mapping; $\Sigma$-product; selection
set-valued mapping; l.s.c. mapping; $\Sigma$-product; selection
Summary:
Every lower semi-continuous closed-and-convex valued mapping $\Phi : X\rightarrow 2^{Y}$, where $X$ is a $\Sigma$-product of metrizable spaces and $Y$ is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.
References:
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