Generalized Monotonicity of Subdifferentials and Generalized Convexity

J. P. Penot and P. H. Sach
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J. P. Penot: University of Pau
P. H. Sach: Hanoi Institute of Mathematics

Journal of Optimization Theory and Applications, 1997, vol. 94, issue 1, No 16, 262 pages

Abstract: Abstract Characterizations of convexity and quasiconvexity of lower semicontinuous functions on a Banach space X are presented in terms of the contingent and Fréchet subdifferentials. They rely on a general mean-value theorem for such subdifferentials, which is valid in a class of spaces which contains the class of Asplund spaces.

Keywords: Convexity; generalized convexity; monotone functions; pseudoconvexity; pseudomonotone functions; quasiconvexity; quasimonotone functions; subdifferentials (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022628223741

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