# American Institute of Mathematical Sciences

2013, 3(4): 643-653. doi: 10.3934/naco.2013.3.643

## Characterizations of the $E$-Benson proper efficiency in vector optimization problems

 1 College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China, China

Received  August 2013 Revised  October 2013 Published  October 2013

In this paper, under the nearly $E$-subconvexlikeness, some characterizations of the $E$-Benson proper efficiency are established in terms of scalarization, Lagrange multipliers, saddle point criteria and duality for a vector optimization problem with set-valued maps. Our main results generalize and unify some previously known results.
Citation: Kequan Zhao, Xinmin Yang. Characterizations of the $E$-Benson proper efficiency in vector optimization problems. Numerical Algebra, Control & Optimization, 2013, 3 (4) : 643-653. doi: 10.3934/naco.2013.3.643
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