| NEW VERSION OF KKMTHEOREM IN PROBABILISTIC METRIC SPACES WITH APPLICATIONS |
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| 作者姓名： | 张石生 赵烈济 吴鲜 |
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| 摘 要： | ＮＥＷＶＥＲＳＩＯＮＯＦＫＫＭＴＨＥＯＲＥＭＩＮＰＲＯＢＡＢＩＬＩＳＴＩＣＭＥＴＲＩＣＳＰＡＣＥＳＷＩＴＨＡＰＰＬＩＣＡＴＩＯＮＳＺｈａｎｇＳｈｉｓｈｅｎｇ（张石生）ＹｅｏｌＪｅＣｈｏ（赵烈济）ＷｕＸｉａｎｇ（吴鲜）（ＲｅｃｅｉｖｅｄＭａｙ７，１９９...
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| 收稿时间： | 7 May 1994 |
New version of KKM theorem in probabilistic metric spaces with applications |
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| Zhang Shisheng,Yeol Je Cho,Wu Ziang.NEW VERSION OF KKMTHEOREM IN PROBABILISTIC METRIC SPACES WITH APPLICATIONS[J].Applied Mathematics and Mechanics(English Edition),1996,17(11):1009-1017. |
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| Authors: | Zhang Shisheng Yeol Je Cho Wu Ziang |
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| Institution: | Zhang Shisheng;Yeol Je Cho;Wu Xiang |
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| Abstract: | In this paper we first introduce the concept of probabilistic interval space. Under this framework, a new version of KKM theorem is obtained. As application, we utilize this result to study some new minimax theorem, section theorem, matching theorem, coincidence theorem and fixed point theorem in probabilistic metric spaces. The results presented in this paper not only contain the main result of von Neumann7] as its special case but also extend the corresponding results of 1, 3, 4, 6, 8] to the case of probabilistic metric spaces.Project supported by the National Natural Science Foundation of China |
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| Keywords: | probabilistic metric space probabilistic interval space chainabilily W-chainability coincidence point |
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