A note on intersection of lower semicontinuous multifunctions
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- by Alojzy Lechicki and Andrzej Spakowski PDF
- Proc. Amer. Math. Soc. 95 (1985), 119-122 Request permission
Abstract:
Let ${F_1}$ and ${F_2}$ be closed and convex valued multifunctions from a topological space $X$ to a normed space $Y$. Assume that the multifunctions are lower semicontinuous at ${x_0}$. We proof that the intersection multifunction $F = {F_1} \cap {F_2}$ is lower semicontinuous at ${x_0}$ provided $F({x_0})$ is bounded and has nonempty interior.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 119-122
- MSC: Primary 54C60; Secondary 46N05, 90C48
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796459-2
- MathSciNet review: 796459