TY - JOUR
T1 - Critical point theory for vector valued functions
AU - Degiovanni, Marco
AU - Lucchetti, Roberto
AU - Ribarska, Nadezhda
PY - 2002
Y1 - 2002
N2 - We consider a continuous function defined on a metric space with values in a Banach space endowed with an order cone. In this setting, we provide an extension of min-max techniques, such as the Mountain pass theorem and Ljusternik-Schnirelman theory, without assuming the order cone to have nonempty interior.
AB - We consider a continuous function defined on a metric space with values in a Banach space endowed with an order cone. In this setting, we provide an extension of min-max techniques, such as the Mountain pass theorem and Ljusternik-Schnirelman theory, without assuming the order cone to have nonempty interior.
KW - Nonsmooth critical point theory
KW - Vector optimization
KW - Nonsmooth critical point theory
KW - Vector optimization
UR - https://publicatt.unicatt.it/handle/10807/312913
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0037005354&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0037005354&origin=inward
M3 - Article
SN - 0944-6532
SP - 415
EP - 428
JO - Journal of Convex Analysis
JF - Journal of Convex Analysis
IS - 9
ER -