New Version of KKM Theorem in Prohahilistic Metric Spaces with Applications

Zhang Shisheng; Yeol Je Cho; Wu Xian

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Zhang Shisheng, Yeol Je Cho, Wu Xian. New Version of KKM Theorem in Prohahilistic Metric Spaces with Applications[J]. Applied Mathematics and Mechanics, 1996, 17(11): 951-960.

Citation:

Zhang Shisheng, Yeol Je Cho, Wu Xian. New Version of KKM Theorem in Prohahilistic Metric Spaces with Applications[J]. Applied Mathematics and Mechanics, 1996, 17(11): 951-960.

Citation:

Zhang Shisheng, Yeol Je Cho, Wu Xian. New Version of KKM Theorem in Prohahilistic Metric Spaces with Applications[J]. Applied Mathematics and Mechanics, 1996, 17(11): 951-960.

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New Version of KKM Theorem in Prohahilistic Metric Spaces with Applications

1.
Departmenf of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
2.
Gyeongsang National Univ, Chihju 660-701, Korea;
3.
Yunan Normal Univ, Kunming 650092, P. R. China

Received Date: 1995-08-30
Rev Recd Date: 1996-06-20
Publish Date: 1996-11-15

Abstract

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 resull of von Neumann[7] as its special case but also extend the corresponding resulls of [1, 3, 4, 6, 8] to the case of probabilistic metric spaces.
- probabilistic metric space,
- probabilistic interval space,
- chainabilily,
- W-chainability

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References(12)

References

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