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On the lower semicontinuity of the set of efficient solutions to parametric generalized systems |
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| Authors: | Z Y Peng S S Chang |
| Institution: | 1. College of Science, Chongqing JiaoTong University, 400074, Chongqing, People’s Republic of China 2. Department of Mathematics, Inner Mongolia University, 010021, Hohhot, People’s Republic of China 3. Department of Statistics and Mathematics, Yunnan University of Finance and Economics, 650224, Kunmin, People’s Republic of China |
| Abstract: | In this paper, we investigate weak vector solutions and global vector solutions to a parametric generalized system (PGS). By using a weaker assumption, we discuss the lower semicontinuity of solution maps for PGS under the case that the $f$ -efficient solution mapping may not be single-valued. These results extend the recent ones in the literature. Some examples are given to illustrate our results. |
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