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Weak Subdifferentials for Set-Valued Mappings |
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| Authors: | X. J. Long J. W. Peng X. B. Li |
| Affiliation: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, P.R. China 2. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, P.R. China 3. College of Science, Chongqing JiaoTong University, Chongqing, 400074, P.R. China |
| Abstract: | The purpose of this paper is to study the weak subdifferential for set-valued mappings, which was introduced by Chen and Jahn (Math. Methods Oper. Res., 48:187–200, 1998). Two existence theorems of weak subgradients for set-valued mappings are obtained. Moreover, some properties of the weak subdifferential for set-valued mappings are derived. Our results improve the corresponding ones in the literature. Some examples are given to illustrate our results. |
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