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Vietnam
Journal of Mathematics 38:1 (2010) 1-8
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Duality
Equation and Efficiency Conditions in a Vector-optimization Problem
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Phan Thien Thach
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Abstract.
In this article we extend the duality scheme in [4] for a
vector-optimization problem that appears in the equilibrium of a
co-operative economy. According to the duality scheme, the dual problem is
also a vector-optimization problem. Moreover, we can obtain a duality
equation that represents a necessary and sufficient condition for the weak
efficiency and a sufficient condition for the efficiency.
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2000
Mathematics Subject Classification: 90C90, 49N15.
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Keywords:
Vector-optimization, efficiency, duality.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
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Published
by Springer since January 2013
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