A solvability theorem for a class of quasiconvex mappings with applications to optimization

DOI10.1006/jmaa.1993.1368zbMath0791.46002OpenAlexW2055851424MaRDI QIDQ1323099

Werner Oettli, Maria Caridad Natividad, Vaithilingam Jeyakumar

Publication date: 9 May 1994

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

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1368

zbMATH Keywords

solvability theoremcharacterize the local and global solutions of optimization problemsquasiconvex mappings

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Existence of solutions for minimax problems (49J35) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Convex sets in topological linear spaces; Choquet theory (46A55)

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