Fan's inequalities for vector-valued multifunctions
Georgiev, Pando Grigorov ; Tanaka, Tamaki
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 153-157 / Harvested from Project Euclid
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We present four variants of Fan's type inequality for vector-valued multifunctions in topological vector spaces with respect to a cone preorder in the target space, when the functions and the cone possess various kinds of semicontinuity and convexity properties. Using the classical scalar Fan inequality, we prove directly a two-function result of Simons, which is used to establish our main tool for proving the presented results.
Publié le : 2000-11-14
Classification:  Fan's inequality,  vector-valued multifunctions,  semicontinuous mappings,  quasiconvex functions,  49J53,  49J35,  47H04 
@article{1148393432,
     author = {Georgiev, Pando Grigorov and Tanaka, Tamaki},
     title = {Fan's inequalities for vector-valued multifunctions},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 153-157},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393432}
}

Georgiev, Pando Grigorov; Tanaka, Tamaki. Fan's inequalities for vector-valued multifunctions. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  153-157. http://gdmltest.u-ga.fr/item/1148393432/