Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems

Gadhi, N.

Serdica Mathematical Journal (2003)

  • Volume: 29, Issue: 3, page 225-238
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30.In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).

How to cite

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Gadhi, N.. "Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems." Serdica Mathematical Journal 29.3 (2003): 225-238. <http://eudml.org/doc/219567>.

@article{Gadhi2003,
abstract = {2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30.In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).},
author = {Gadhi, N.},
journal = {Serdica Mathematical Journal},
keywords = {Approximate Hessian Matrix; Recession Matrices; Sufficient Second Order Optimality Conditions; Support Functions; Multiobjective Optimization; Approximate Hessian matrix; Recession matrices; Sufficient second order optimality conditions; Support functions; Multiobjective optimization},
language = {eng},
number = {3},
pages = {225-238},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems},
url = {http://eudml.org/doc/219567},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Gadhi, N.
TI - Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 3
SP - 225
EP - 238
AB - 2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30.In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).
LA - eng
KW - Approximate Hessian Matrix; Recession Matrices; Sufficient Second Order Optimality Conditions; Support Functions; Multiobjective Optimization; Approximate Hessian matrix; Recession matrices; Sufficient second order optimality conditions; Support functions; Multiobjective optimization
UR - http://eudml.org/doc/219567
ER -

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