| 概率度量空间中集值Caristi定理 |
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| 引用本文： | 张石生,石川.概率度量空间中集值Caristi定理[J].四川大学学报(自然科学版),1993,31(1):12-16. |
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| 作者姓名： | 张石生 石川 |
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| 作者单位： | 四川大学数学系
(张石生，黄南京)，华东工学院(石川) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文得到了概率度量空间中的集值Caristi型重合定理、加强形式的集值Caristi不动点定理及Ekeland变分原理,同时还证明了这一加强形式的集值Cariti不动点定理与Ekeland变分原理的等价性.本文所得结果统一和发展了近期一些巳知的重要结果.
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| 关 键 词： | 概率度量空间 不动点定理 变分原理 |
SET-VALUED CARISTI'S THEOREM IN PROBABILISTIC METRIC SPACES |
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| Zhang Shisheng Huang Nanjing Shi Chuan.SET-VALUED CARISTI''''S THEOREM IN PROBABILISTIC METRIC SPACES[J].Journal of Sichuan University (Natural Science Edition),1993,31(1):12-16. |
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| Authors: | Zhang Shisheng Huang Nanjing Shi Chuan |
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| Institution: | Zhang Shisheng Huang Nanjing Shi Chuan(Department of mathematics) (Engineering Institute of East China) |
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| Abstract: | In this paper, a set-valued Caristi's type coincidence theorem, a formally stronger set-valued Caristi' s fixed point theorem and an Ekeland' s variational principle in probabilistic metric spaces are obtained. By a simple method we give a direct proof for the equivalence between the Ekeland's variational principle and the formally stronger set-valued's fixed point theorem in probabilistic metric spaces. The results presented in this paper unify and extend some recent important results. |
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| Keywords: | probabilistic metric space Caristi fixed point theory variational principle semiorder set |
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