Acta mathematica scientia, Series B >
SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY
Received date: 2007-09-07
Revised date: 2008-08-11
Online published: 2010-07-20
Supported by
Supported by the National Natural Science Foundation of China (10571035, 10871141)
Under the assumption that the ordering cone has a nonempty interior and is separable (or the feasible set has a
nonempty interior and is separable), we give scalarization theorems on Benson proper efficiency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper efficient solutions.
QIU Jing-Hui , HAO Yuan , WANG Cui . SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY[J]. Acta mathematica scientia, Series B, 2010 , 30(4) : 1154 -1166 . DOI: 10.1016/S0252-9602(10)60113-0
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