Vector subdifferentials and tangent cones

Journal of Numerical Analysis and Approximation Theory

Cristina Stamate¹ 

[1] Institute of Mathematics, Iasi, Romania;

关键词: vector order spaces;    convex pointed normal cones;    tangent cones;    dual spaces;    Pareto optimization;    vector subdifferentials;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown