Vector subdifferentials and tangent cones
DOI:
https://doi.org/10.33993/jnaat342-807Keywords:
vector order spaces, convex pointed normal cones, tangent cones, dual spaces, Pareto optimization, vector subdifferentialsAbstract
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function. For several kinds of normal cones we have different subdifferentials; we give properties, links between them, links with addapted directional derivatives and a genaralization for the Correa Joffré Thibault and for Zagrodny theorem from the real case.Downloads
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