On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization
Sign Up to like & getrecommendations! Published in 2020 at "Positivity"
DOI: 10.1007/s11117-020-00778-2
Abstract: The main purpose of this paper is to study higher-order sensitivity analysis in parametric vector optimization problems. Firstly, the higher-order proto-differentiability/the higher-order asymptotic proto-differentiability of the feasible map of a parametric vector optimization problem are… read more here.
Keywords: vector optimization; order; higher order; proto differentiability ... See more keywords
On Second-Order Proto-Differentiability of Perturbation Maps
Sign Up to like & getrecommendations! Published in 2018 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-016-0397-0
Abstract: In this paper, second-order sensitivity analysis in vector optimization problems is considered. We prove that the efficient solution map and the efficient frontier map of a parameterized vector optimization problem are second-order proto-differentiable under some… read more here.
Keywords: order proto; order; proto differentiability; second order ... See more keywords