Title of article
Saddle points and gap functions for vector equilibrium problems via conjugate duality in vector optimization
Author/Authors
S.J. Li، نويسنده , , S.F. Yao، نويسنده , , C.R. Chen، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
13
From page
853
To page
865
Abstract
In this paper, two conjugate dual problems based on weak efficiency to a constrained vector optimization problem are introduced.
Some inclusion relations between the dual objective mappings and the properties of the Lagrangian maps and their saddle points
for primal problem are discussed. Gap functions for a vector equilibrium problem are established by using the weak and strong
duality.
© 2008 Elsevier Inc. All rights reserved.
Keywords
Saddle point , Gap function , Inclusion relations , Vector optimization , Conjugate duality
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937149
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