Minimax Theory and its Applications 09 (2024), No. 2, 171--184
Copyright Heldermann Verlag 2024
A Support Function Approach for Characterizations of Convex Normal Cone
Kwan Deok Bae
Department of Applied Mathematics, Pukyong National University, Busan, Korea
bkduck106@naver.com
Do Sang Kim
Department of Applied Mathematics, Pukyong National University, Busan, Korea
dskim@pknu.ac.kr
We study the normal cone to a convex set given by a class of convex inequalities, by the robust version of Farkas' lemma for convex functions, and by a support function approach. Some special cases are given.
Keywords: Normal cone, Farkas' lemma, support function.
MSC: 90C25, 90C34.
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