Electronic Resource
Springer
Journal of optimization theory and applications
95 (1997), S. 717-722
ISSN:
1573-2878
Keywords:
Quasiconvex functions
;
duality
;
generalized conjugation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A function defined on a locally convex space is called evenly quasiconvex if its level sets are intersections of families of open half-spaces. Furthermore, if the closures of these open halfspaces do not contain the origin, then the function is called R-evenly quasiconvex. In this note, R-evenly quasiconvex functions are characterized as those evenly-quasiconvex functions that satisfy a certain simple relation with their lower semicontinuous hulls.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022690326118
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