ISSN:
1573-2878
Schlagwort(e):
B-vex functions
;
quasiconvex functions
;
subdifferentials
;
regularity
;
optimality conditions
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract In this paper, the equivalence between the class of B-vex functions and that of quasiconvex functions is proved. Necessary and sufficient conditions, under which a locally Lipschitz function is B-vex, are established in terms of the Clarke subdifferential. Regularity of locally Lipschitz B-vex functions is discussed. Furthermore, under appropriate conditions, a necessary optimality condition of the Slater type and a sufficient optimality condition are obtained for a nonsmooth programming problem involving B-vex functions.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1022643129733
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