Ekeland’s Variational Principle and Caristi’s Coincidence Theorem for Set-Valued Mappings in Probabilistic Metric Spaces

Chang Shih-sen

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(7): 575-582

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, 14(7): 575-582.

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Ekeland’s Variational Principle and Caristi’s Coincidence Theorem for Set-Valued Mappings in Probabilistic Metric Spaces

Chang Shih-sen

Department of Mathematics, Sichuan University, Chengdu

Received Date: 1992-04-09
Publish Date: 1993-07-15

Abstract

Abstract

By using the partial ordering method,a more general type,of Ekeland's variational 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.
- probabilistic metric space,
- Caristi’s coincidence theorem,
- Ekeland’s variational principle,
- partial ordering set

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References(9)

References

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