Geodesic
Critical Point Theory for Vector Valued Functions
Journal of convex analysis, Tome 9 (2002) no. 2, pp. 415-428 Cet article a éte moissonné depuis la source Heldermann Verlag

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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.
Classification : 49J40, 58E05
Mots-clés : Vector optimization, nonsmooth critical point theory 
@article{JCA_2002_9_2_JCA_2002_9_2_a5,
     author = {M. Degiovanni and R. Lucchetti and N. Ribarska},
     title = {Critical {Point} {Theory} for {Vector} {Valued} {Functions}},
     journal = {Journal of convex analysis},
     pages = {415--428},
     year = {2002},
     volume = {9},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a5/}
}
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M. Degiovanni; R. Lucchetti; N. Ribarska. Critical Point Theory for Vector Valued Functions. Journal of convex analysis, Tome 9 (2002) no. 2, pp. 415-428. http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a5/