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Global maxima of real-valued functions. (English) Zbl 0577.90068
In this paper, sufficient conditions for a local maximum to be global are discussed. The result is that a real continuously differentiable function f, defined on a subset of \(R^ n\), under fairly weak conditions, is unimodal if f has a strict local maximum at any stationary point.

MSC:
90C30 Nonlinear programming
49K10 Optimality conditions for free problems in two or more independent variables
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