Density of the set of local minimizers for a generic cost function Original Research Article

In this work, we study the minimization problem f(x)→minf(x)→min, x∈Xx∈X, where View the MathML sourcef:X→R1 is a continuous function defined on a complete separable metric space X. We show that for a generic function f the set of all local minimizers is everywhere dense in X.