Strong duality with super efficiency in set-valued optimization
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Authors
Guolin Yu
- Institute of Applied Mathematics, North Minzu University, Yinchuan, Ningxia 750021, P. R. China.
Abstract
This paper is devoted to the study of four dual problems of a primal vector optimization problem involving nearly subconvexlike
set-valued mappings. For each dual problem, a strong duality theorem with super efficiency is established. The strong
duality result can be expressed as follows: starting from a super minimizer of the primal problem, a super maximizer of the
dual problem can be constructed such that the corresponding objective values of both problems are equal. The results improve
the corresponding ones in the literature.
Share and Cite
ISRP Style
Guolin Yu, Strong duality with super efficiency in set-valued optimization, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3261--3272
AMA Style
Yu Guolin, Strong duality with super efficiency in set-valued optimization. J. Nonlinear Sci. Appl. (2017); 10(6):3261--3272
Chicago/Turabian Style
Yu, Guolin. "Strong duality with super efficiency in set-valued optimization." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3261--3272
Keywords
- Super efficiency
- Henig proper efficiency
- nearly subconvexlike set-valued mappings
- set-valued optimization
- strong duality.
MSC
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