A nonlinear theorem of the alternative without regularity assumption

DOI10.1016/0022-247X(90)90326-BzbMath0705.46004MaRDI QIDQ917854

Werner Oettli, Gabriele Heinecke

Publication date: 1990

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

zbMATH Keywords

convex conespolar conesweakly efficient points

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Convex sets in topological linear spaces; Choquet theory (46A55) Optimality conditions for problems in abstract spaces (49K27)

Related Items

Nonconvex vector optimization of set-valued mappings.

Cites Work

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• Theorems of the alternative for multifunctions with applications to optimization: General results
• Closed images of convex multivalued mappings in linear topological spaces with applications
• Sur la séparation des ensembles convexes
• Characterization of weakly efficient points
• The theorem of the alternative, the key-theorem, and the vector-maximum problem