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2013 Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps
Xiaohong Hu, Zhimiao Fang, Yunxuan Xiong
Abstr. Appl. Anal. 2013(SI23): 1-9 (2013). DOI: 10.1155/2013/570918


The concept of the well posedness for a special scalar problem is linked with strictly efficient solutions of vector optimization problem involving nearly convexlike set-valued maps. Two scalarization theorems and two Lagrange multiplier theorems for strict efficiency in vector optimization involving nearly convexlike set-valued maps are established. A dual is proposed and duality results are obtained in terms of strictly efficient solutions. A new type of saddle point, called strict saddle point, of an appropriate set-valued Lagrange map is introduced and is used to characterize strict efficiency.


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Xiaohong Hu. Zhimiao Fang. Yunxuan Xiong. "Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps." Abstr. Appl. Anal. 2013 (SI23) 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1278.90358
MathSciNet: MR3045081
Digital Object Identifier: 10.1155/2013/570918

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI23 • 2013
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