Higher-Order Optimality Conditions and Higher-Order Tangent Sets
Jean‐Paul Penot · SIAM Journal on Optimization · 2017
We present a simple approach to an analysis of higher order approximations to sets and functions. The objects we study are not of a specific order; they include objects of order 2 and $m$ with $m$ not necessarily an integer. We deduce from these concepts optimality conditions of higher order and we establish some calculus rules.