CM-Selectors for pairs of oppositely semicontinuous multivalued maps with -decomposable values
Hôǹg Thái Nguyêñ, Maciej Juniewicz, Jolanta Ziemińska (2001)
Studia Mathematica
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We present a new continuous selection theorem, which unifies in some sense two well known selection theorems; namely we prove that if F is an H-upper semicontinuous multivalued map on a separable metric space X, G is a lower semicontinuous multivalued map on X, both F and G take nonconvex -decomposable closed values, the measure space T with a σ-finite measure μ is nonatomic, 1 ≤ p < ∞, is the Bochner-Lebesgue space of functions defined on T with values in a Banach space E, F(x)...