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Between quasi-convex and convex set-valued mappings.

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Publication:1764501
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DOI10.1016/S0893-9659(04)90058-4zbMath1074.47023OpenAlexW2005700899MaRDI QIDQ1764501

Nicolae Popovici, Joël Benoist

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90058-4


zbMATH Keywords

set-valued mappingsquasi-convex maps


Mathematics Subject Classification ID

Set-valued operators (47H04) Geometry and structure of normed linear spaces (46B20)


Related Items (4)

Scalar characterizations of weakly cone-convex and weakly cone-quasiconvex functions ⋮ Characterization of nonsmooth quasiconvex and pseudoconvex functions ⋮ Characterizations and applications of generalized invexity and monotonicity in Asplund spaces ⋮ On generalized convexity in Asplund spaces



Cites Work

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  • A characterization of convex function
  • On some class of midconvex functions
  • Generalized convexities of lower semicontinuous functions
  • Convexity is equivalent to midpoint convexity combined with strict quasiconvextiy
  • Another Proof that Convex Functions are Locally Lipschitz


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