Characterization of R-Evenly Quasiconvex Functions

Juan Enrique Martinez-Legaz

Journal of Optimization Theory and Applications, 1997, vol. 95, issue 3, No 15, 717-722

Abstract: 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.

Keywords: Quasiconvex functions; duality; generalized conjugation (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022690326118

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