Abstract
This paper provides some theorems of the alternative for non-linear functions (sublinearconvex) between topological vector spaces. These results are then applied to establish optimality conditions for convex programming and general non-differentiable programming problems.
Zusammenfassung
Diese Arbeit gibt einige Alternativsätze für nichtlineare (sublinear-konvexe) Funktionen zwischen topologischen Vektorräumen. Diese Resultate werden benutzt, um Optimalitätsbedingungen für konvexe und allgemeine nichtdifferenzierbare Optimierungsprobleme aufzustellen.
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Jeyakumar, V. Nonlinear alternative theorems and nondifferentiable programming. Zeitschrift für Operations Research 28, 175–187 (1984). https://doi.org/10.1007/BF01920919
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DOI: https://doi.org/10.1007/BF01920919