| 概率度量空间中的Ekeland变分原理与集值映象的Caristi重合定理 |
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| 引用本文： | 张石生.概率度量空间中的Ekeland变分原理与集值映象的Caristi重合定理[J].应用数学和力学,1993(7). |
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| 作者姓名： | 张石生 |
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| 作者单位： | 四川大学数学系 |
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| 基金项目： | 国家自然科学基金资助课题 |
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| 摘 要： | 借助偏序方法,本文得到概率度量空间中之一推广形式的Ekeland变分原理及一集值形式的Caristi重合定理,同时证明了这两个定理之间的等价性.本文结果是1,2,5,6,7,9]中相应结果的改进和推广.
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| 关 键 词： | 概率度量空间 Caristi重合定理 Ekeland变分原理 偏序集 |
Ekeland's Variational Principle and Caristi's Coincidence Theorem for Set-Valued Mappings in Probabilistic Metric Spaces |
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| Chang Shih-sen.Ekeland''''s Variational Principle and Caristi''''s Coincidence Theorem for Set-Valued Mappings in Probabilistic Metric Spaces[J].Applied Mathematics and Mechanics,1993(7). |
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| Authors: | Chang Shih-sen |
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| Abstract: | By using partial ordering method, a more general type of Ekeland's varia-tional principle and a set-valued Caristi's coincidence theorem in probabilistic metric spaces are obtained. In addition, we give a simple direct proof of the equivalence between these two theorems in probabilistic metric spaces. |
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| Keywords: | Probabilistic metric spare Caristi's coincidence theorem Ekeland's variational principle partial ordering set |
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