On generalized convexity in Asplund spaces

DOI10.1016/j.na.2008.04.008zbMath1190.49022OpenAlexW2053198310MaRDI QIDQ1009618

Majid Soleimani-damaneh

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.008

zbMATH Keywords

quasiconvexitypseudoconvexitylimiting subdifferentialweakly compactly generated spaceAsplund space

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Existence theories for problems in abstract spaces (49J27)

Related Items (5)

Infinite alternative theorems and nonsmooth constraint qualification conditions ⋮ Characterizations of pseudoconvex functions and semistrictly quasiconvex ones ⋮ Vector optimization problem and generalized convexity ⋮ Characterization of radially lower semicontinuous pseudoconvex functions ⋮ Generalized vector variational-like inequalities and vector optimization in Asplund spaces

Cites Work

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• Nonsmooth multiobjective optimization using limiting subdifferentials
• Characterization of nonsmooth quasiconvex and pseudoconvex functions
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Convex analysis and nonlinear optimization. Theory and examples
• Between quasi-convex and convex set-valued mappings.
• A characterization of quasiconvex vector-valued functions

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