Concepts of lower semicontinuity and continuous selections for convex valued multifunctions

@article{Przeawski1992ConceptsOL,
  title={Concepts of lower semicontinuity and continuous selections for convex valued multifunctions},
  author={Krzysztof Przeławski and Longin E. Rybiński},
  journal={Journal of Approximation Theory},
  year={1992},
  volume={68},
  pages={262-282}
}
Lower Semicontinuity Concepts, Continuous Selections, and Set Valued Metric Projections
TLDR
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The existence of continuous selections is proved for a class of weakly Hausdorff lower semicontinuous multifunctions. 1. Let X be a topological space and let Y be a normed space with norm Let 2y be
Theorems of Namioka and R. E. Johnson type for upper semicontinuous and compact valued set-valued mappings
Some recent results of Namioka on strong continuity of weakly continuous mappings (in a dense G3 set) and results of R. E. Johnson on norm separability of the range of such mappings (under conditions
Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
Two new continuity properties for set-valued mappings are defined which are weaker than lower semicontinuity. One of these properties characterizes when approximate selections exist. A few selection
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