Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2012), Article ID 570918, 9 pages.
Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps
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.
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 570918, 9 pages.
First available in Project Euclid: 26 February 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Hu, Xiaohong; Fang, Zhimiao; Xiong, Yunxuan. Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 570918, 9 pages. doi:10.1155/2013/570918. https://projecteuclid.org/euclid.aaa/1393450464