First and second order sufficient conditions for strict minimality in nonsmooth vector optimization

71 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Optimality Conditions in Differentiable Vector Optimization via Second-Order Tangent Sets (2004, unknown): “then x0 ∈ Strl(2, f, M). Proof. (i) See Theorem 4.1 in [ 15 ].”
Optimality Conditions for Nonsmooth Multiobjective Optimization Using Hadamard Directional Derivatives (2007, background): “Refs. [1, 5, 21 ] for often-met notions of directional derivatives.”
First order optimality conditions in vector optimization involving stable functions (2008, background): “1 in [12], where it is assumed that f is Hadamard differentiable.”
Higher-order necessary and sufficient conditions for strict local pareto minima in terms of Studniarski's derivatives (2008, background): “In 10 , Jimenez–Novo introduce the notion of support function to a multiobjective programming problem and derive a number of first and second order sufficient conditions for strict local Pareto minima of orders 1 and 2.”