Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone
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Aleksandra Stasiak
Abstract
Using the definitions of μ-th order lower and upper directional derivatives of vector-valued functions, introduced in Rahmo and Studniarski (J. Math. Anal. Appl. 393 (2012), 212–221), we provide some necessary and sufficient conditions for strict local Pareto minimizers of order μ for optimization problems where the partial order is introduced by a pointed polyhedral cone with non-empty interior.
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Articles in the same Issue
- Frontmatter
- Deferred weighted 𝒜-statistical convergence based upon the (p,q)-Lagrange polynomials and its applications to approximation theorems
- Some variational principles associated with ODEs of maximal symmetry. Part 1: Equations in canonical form
- On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: Multiple exp-function method
- Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations
- Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone
- On some nonlinear hyperbolic p(x,t)-Laplacian equations
- Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials
- Approximately linear recurrences
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- Deficit distributions at ruin in a regime-switching Sparre Andersen model
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Articles in the same Issue
- Frontmatter
- Deferred weighted 𝒜-statistical convergence based upon the (p,q)-Lagrange polynomials and its applications to approximation theorems
- Some variational principles associated with ODEs of maximal symmetry. Part 1: Equations in canonical form
- On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: Multiple exp-function method
- Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations
- Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone
- On some nonlinear hyperbolic p(x,t)-Laplacian equations
- Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials
- Approximately linear recurrences
- Existence and uniqueness of a problem in thermo-elasto-plasticity with phase transitions in TRIP steels under mixed boundary conditions
- Deficit distributions at ruin in a regime-switching Sparre Andersen model
- On some non-Gaussian wave packets
