LetZ be a compact set of the real space ℜ with at leastn + 2 points;f,h1,h2:Z → ℜ continuous functions,h1,h2 strictly positive andP(x,z),x≔(x <Subscript>0</Subscript>,...,x <Subscript> n </Subscript>)<Superscript>τ</Superscript> ε ℜ<Superscript> n+1</Superscript>,z ε ℜ, a polynomial of degree at mostn. Consider a feasible setM ≔ {x ε ℜ<Superscript> n+1</Superscript>∣∀z εZ, −h <Subscript>2</Subscript>(z) ≤P(x,...</subscript></superscript></superscript></superscript></subscript></subscript>

We consider unconstrained finite minimax problems where the objective function is described as a maximum of functions f k ∈C 3 (ℜ n,ℜ). We propose a parametric embedding for the minimax problem and, assuming that the corresponding parametric optimization problem belongs to the generic...

We consider unconstrained finite minimax problems where the objective function is described as a maximum of functions f <Superscript>k</Superscript>∈C <Superscript>3</Superscript>(ℜ<Superscript>n</Superscript>,ℜ). We propose a parametric embedding for the minimax problem and, assuming that the corresponding parametric optimization problem belongs to the generic class...</superscript></superscript></superscript>