Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints

Gadhi, N.; Metrane, A.

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 1, page 17-32
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30.In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.

How to cite

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Gadhi, N., and Metrane, A.. "Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints." Serdica Mathematical Journal 30.1 (2004): 17-32. <http://eudml.org/doc/219536>.

@article{Gadhi2004,
abstract = {2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30.In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.},
author = {Gadhi, N., Metrane, A.},
journal = {Serdica Mathematical Journal},
keywords = {Convex Mapping; D.C. Mapping; Lagrange-Fritz-John Multipliers; Local Weak Minimal Solution; Optimality Condition; Subdifferential; Convex mapping; D.C. mapping; Lagrange-Fritz-John multipliers; Local weak minimal solution; Optimality condition; Subdifferential.},
language = {eng},
number = {1},
pages = {17-32},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints},
url = {http://eudml.org/doc/219536},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Gadhi, N.
AU - Metrane, A.
TI - Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 1
SP - 17
EP - 32
AB - 2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30.In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.
LA - eng
KW - Convex Mapping; D.C. Mapping; Lagrange-Fritz-John Multipliers; Local Weak Minimal Solution; Optimality Condition; Subdifferential; Convex mapping; D.C. mapping; Lagrange-Fritz-John multipliers; Local weak minimal solution; Optimality condition; Subdifferential.
UR - http://eudml.org/doc/219536
ER -

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