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Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric space

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Abstract

The main purpose of this paper is to establish the Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces and to give a direct simple proof of the equivalence between these two theorems in the probabilistic metric space. The results presented in this paper generalize the corresponding results of [9–12].

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Authors and Affiliations

  1. Sichuan University, Chengdu

    Zhang Shisheng, Chen Yuqing & Guo Jinli

Authors
  1. Zhang Shisheng
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  2. Chen Yuqing
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  3. Guo Jinli
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The project is supported by National Natural Science Foundation of China.

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Zhang, S., Chen, Y. & Guo, J. Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric space. Acta Mathematicae Applicatae Sinica 7, 217–228 (1991). https://doi.org/10.1007/BF02005971

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  • DOI: https://doi.org/10.1007/BF02005971

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