TY - JOUR
T1 - On the existence of a saddle value for nonconvex and noncoercive bifunctions
AU - Lara, Felipe
N1 - Publisher Copyright:
© Heldermann Verlag.
PY - 2020
Y1 - 2020
N2 - We provide necessary and sufficient conditions for ensuring the existence of a saddle value for classes of nonconvex and noncoercive bifunctions. To that end, we use special classes of asymptotic (recession) directions and generalized asymptotic functions introduced and studied previously in the literature. We apply our theoretical results for providing sufficient conditions for zero duality gap for classes of quasiconvex cone constraint mathematical programming problems.
AB - We provide necessary and sufficient conditions for ensuring the existence of a saddle value for classes of nonconvex and noncoercive bifunctions. To that end, we use special classes of asymptotic (recession) directions and generalized asymptotic functions introduced and studied previously in the literature. We apply our theoretical results for providing sufficient conditions for zero duality gap for classes of quasiconvex cone constraint mathematical programming problems.
KW - Asymptotic directions
KW - Asymptotic functions
KW - Duality
KW - Noncoercive optimization
KW - Nonconvex programming
KW - Quasiconvexity
KW - Saddle value
UR - https://www.scopus.com/pages/publications/85088016716
M3 - Article
AN - SCOPUS:85088016716
SN - 2199-1413
VL - 5
SP - 65
EP - 76
JO - Minimax Theory and its Applications
JF - Minimax Theory and its Applications
IS - 1
ER -