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Part of the book series: Mathematics and Its Applications ((MAIA,volume 495))


We gather in this chapter the properties of multivalued maps (called also set-valued or multiple-valued maps) which are needed for the study of the fixed point theory and applications to nonlinear analysis. The first three sections deal with the concept of continuity. Then we consider the selection problem. We shall end this section by proving a general characterization theorem for the set of fixed points of multivalued contractions.

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© 1999 Springer Science+Business Media Dordrecht

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Górniewicz, L. (1999). Multivalued Mappings. In: Topological Fixed Point Theory of Multivalued Mappings. Mathematics and Its Applications, vol 495. Springer, Dordrecht.

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-015-9197-3

  • Online ISBN: 978-94-015-9195-9

  • eBook Packages: Springer Book Archive

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