Different Conjugate Dual Problems in Vector Optimization and Their Relations |
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Authors: | C R Chen S J Li |
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Institution: | (1) College of Mathematics and Science, Chongqing University, Chongqing, 400044, China |
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Abstract: | In this paper, three kinds of conjugate dual problems are constructed by virtue of different perturbations to a constrained
vector optimization problem. Weak duality, strong duality, and some inclusion relations for the image sets of the three dual
problems are established.
This research was partially supported by the National Natural Science Foundation of China (Grant Number 60574073) and the
Natural Science Foundation Project of CQ CSTC (Grant Number 2007BB6117). The authors thank two anonymous referees for valuable
comments and suggestions, which helped improving the paper. |
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Keywords: | Conjugate duality Weak efficiency Vector optimization Weak and strong duality Inclusion relations |
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