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Characterization of R-Evenly Quasiconvex Functions

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  • J. E. Martínez-Legaz

    (Universitat Autònoma de Barcelona)

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.

Suggested Citation

  • J. E. Martínez-Legaz, 1997. "Characterization of R-Evenly Quasiconvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 95(3), pages 717-722, December.
    • Handle: RePEc:spr:joptap:v:95:y:1997:i:3:d:10.1023_a:1022690326118
    DOI: 10.1023/A:1022690326118
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    References listed on IDEAS

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    1. Martinez-Legaz, Juan-Enrique & Santos, Manuel S, 1993. "Duality between Direct and Indirect Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 335-351, April.
    2. Martinez-Legaz, J. -E., 1991. "Duality between direct and indirect utility functions under minimal hypotheses," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 199-209.
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