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A unified theory of first and second order conditions for extremum problems in topological vector spaces. (English) Zbl 0494.49020

MSC:
49K27 Optimality conditions for problems in abstract spaces
46A40 Ordered topological linear spaces, vector lattices
52A07 Convex sets in topological vector spaces (aspects of convex geometry)
49M37 Numerical methods based on nonlinear programming
90C30 Nonlinear programming
90C48 Programming in abstract spaces
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