Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps

Xiaohong Hu, Zhimiao Fang and Yunxuan Xiong

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:570918

DOI: 10.1155/2013/570918

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