Generalized convex set-valued maps.

DOI10.1016/S0022-247X(03)00588-2zbMath1042.49024OpenAlexW2030128128MaRDI QIDQ1421182

Joël Benoist, Nicolae Popovici

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00588-2

zbMATH Keywords

set-valued mapsweak cone-convexityweak cone-quasiconvexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Set-valued functions (26E25) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Set-valued solutions of a two-variable functional equation with involutions ⋮ Unnamed Item ⋮ Scalar characterizations of weakly cone-convex and weakly cone-quasiconvex functions ⋮ On set-valued solutions of a generalized bi-quadratic functional equation ⋮ New characterizations of the set-valued solutions for a class of functional equations with involutions ⋮ Strongly convex set-valued maps ⋮ Ohlin-type theorem for convex set-valued maps ⋮ Set-valued solutions of a generalized quadratic functional equation ⋮ Super efficient solutions for set-valued maps

Cites Work

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• A solvability theorem for a class of quasiconvex mappings with applications to optimization
• Semicontinuity and quasiconvex functions
• Minimax theorems for set-valued mappings.
• Three kinds of generalized convexity
• Convexity for set-valued maps
• On continuous quasiconvex functions