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Characterization of R-Evenly Quasiconvex Functions

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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.

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Authors and Affiliations

  1. Departament d'Economia i d'Història Económica and CODE, Universitat Autònoma de Barcelona, Bellaterra, Spain

    J. E. Martínez-Legaz (Professor)

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  1. J. E. Martínez-Legaz
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Martínez-Legaz, J.E. Characterization of R-Evenly Quasiconvex Functions. Journal of Optimization Theory and Applications 95, 717–722 (1997). https://doi.org/10.1023/A:1022690326118

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