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This document discusses w-upper semicontinuous multivalued mappings and the Kakutani theorem. It begins by defining w-upper semicontinuity and w-closedness for multivalued mappings between metric spaces. It then proves that the sum of a w1-upper semicontinuous mapping and a w2-upper semicontinuous mapping is (w1+w2)-upper semicontinuous. The document also presents examples of mappings that are w-upper semicontinuous but not upper semicontinuous. It concludes by proving an analog of the Kakutani theorem for

Author

Rodolfo Quijada

Language

EN