| EKELAND’S VARIATIONAL PRINCIPLE AND CARISTI’S COINCIDENCE THEOREM FOR SET-VALUED MAPPINGS IN PROBABILISTIC METRIC SPACES |
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| 引用本文： | 张石生.EKELAND’S VARIATIONAL PRINCIPLE AND CARISTI’S COINCIDENCE THEOREM FOR SET-VALUED MAPPINGS IN PROBABILISTIC METRIC SPACES[J].应用数学和力学(英文版),1993,14(7):607-614. |
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| 作者姓名： | 张石生 |
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| 作者单位： | Department of |
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| 基金项目： | National Natural Science Foundation of China |
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| 摘 要： | By using the partial ordering method,a more general type,of Ekeland’s ariational principle and a set-valued Caristi’s coincidence theorem in probabilistic metric spaces are obtained.In addition,a direct simple proof of the equivalence between these two theorems in probabilistic metric spaces is given.
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| 关 键 词： | probabilistic metric space Caristi’s coincidence theorem Ekeland’s variational principle partial ordering set. |
| 收稿时间： | 9 April 1992 |
Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces |
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| Zhang Shi-sheng.Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces[J].Applied Mathematics and Mechanics(English Edition),1993,14(7):607-614. |
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| Authors: | Zhang Shi-sheng |
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| Institution: | (1) Department of Mathematics, Sichuan University, Chengdu |
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| Abstract: | By using the partial ordering method, a more general type, of Ekeland's ariational principle and a set-valued Caristi's coincidence theorem in probabilistic metric spaces are obtained. In addition, a direct simple proof of the equivalence between these two theorems in probabilistic metric spaces is given. |
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| Keywords: | probabilistic metric space Caristi's coincidence theorem Ekeland's variational principle partial ordering set |
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