Variational Subdifferential for Quasiconvex Functions

J. P. Penot
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J. P. Penot: University of Pau

Journal of Optimization Theory and Applications, 2001, vol. 111, issue 1, No 9, 165-171

Abstract: Abstract It is shown that a convenient subdifferential for the class of quasiconvex functions is variational. This property combines a variational principle with a kind of weak fuzzy sum rule. It entails a number of useful properties. The subdifferential considered here is the lower subdifferential at the origin (in the sense of Plastria) of the incident derivative or inner epiderivative of the function.

Keywords: Generalized convexity; incident derivative; quasiconvexity; subdifferential; variational (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017579516340

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