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Interior Sphere Condition for the Graph of a Multifunction

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Abstract

For a given multifunction, we provide proximal differentiability condition under which the equivalence between the interior sphere condition of each value of the multifunction and the interior sphere condition of its graph holds.

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Authors and Affiliations

  1. Department of Computer Science and Mathematics, Lebanese American University, Byblos Campus, P.O. Box 36, Byblos, Lebanon

    Chadi Nour & Jean Takche

Authors
  1. Chadi Nour
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  2. Jean Takche
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Correspondence to Chadi Nour.

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Nour, C., Takche, J. Interior Sphere Condition for the Graph of a Multifunction. Set-Valued Var. Anal 22, 503–519 (2014). https://doi.org/10.1007/s11228-013-0268-x

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  • DOI: https://doi.org/10.1007/s11228-013-0268-x

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