Michael selection theorem under weak lower semicontinuity assumption

Przesławski, Krzysztof; Rybiński, Longin E.

doi:10.1090/S0002-9939-1990-1002163-X

Michael selection theorem under weak lower semicontinuity assumption
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by Krzysztof Przesławski and Longin E. Rybiński

Proc. Amer. Math. Soc. 109 (1990), 537-543

DOI: https://doi.org/10.1090/S0002-9939-1990-1002163-X

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Abstract:

We give a continuous selection theorem for convex-valued multifunction satisfying slightly weaker lower semicontinuity assumptions than those which are adopted in the famous Michael Theorem [4] and in [1].

References

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Weak lower semicontinuity and Carathéodory type selections