Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order

X. F. Hu and L. N. Wang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between the lexicographic saddle point and the lexicographic solution to a multiobjective programming problem.

Date: 2013
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https://doi.org/10.1155/2013/573408

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:573408

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