Second-order optimality conditions for nondominated solutions of multiobjective programming with C 1 , 1 data

Liping Liu; Pekka Neittaanmäki; Michal Křížek

Applications of Mathematics (2000)

  • Volume: 45, Issue: 5, page 381-397
  • ISSN: 0862-7940

Abstract

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We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class C 1 , 1 . Second-order optimality conditions for local Pareto solutions are derived as a special case.

How to cite

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Liu, Liping, Neittaanmäki, Pekka, and Křížek, Michal. "Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^{1,1}$ data." Applications of Mathematics 45.5 (2000): 381-397. <http://eudml.org/doc/33066>.

@article{Liu2000,
abstract = {We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class $C^\{1,1\}$. Second-order optimality conditions for local Pareto solutions are derived as a special case.},
author = {Liu, Liping, Neittaanmäki, Pekka, Křížek, Michal},
journal = {Applications of Mathematics},
keywords = {multiobjective programming; nonsmooth constrained optimization; second-order optimality conditions; nondominated solutions; local Pareto optimal solutions; multiobjective programming; nonsmooth constrained optimization; second-order optimality conditions; nondominated solutions; local Pareto optimal solutions},
language = {eng},
number = {5},
pages = {381-397},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^\{1,1\}$ data},
url = {http://eudml.org/doc/33066},
volume = {45},
year = {2000},
}

TY - JOUR
AU - Liu, Liping
AU - Neittaanmäki, Pekka
AU - Křížek, Michal
TI - Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^{1,1}$ data
JO - Applications of Mathematics
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 5
SP - 381
EP - 397
AB - We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class $C^{1,1}$. Second-order optimality conditions for local Pareto solutions are derived as a special case.
LA - eng
KW - multiobjective programming; nonsmooth constrained optimization; second-order optimality conditions; nondominated solutions; local Pareto optimal solutions; multiobjective programming; nonsmooth constrained optimization; second-order optimality conditions; nondominated solutions; local Pareto optimal solutions
UR - http://eudml.org/doc/33066
ER -

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