Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (7): 607-614.

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EKELAND’S VARIATIONAL PRINCIPLE AND CARISTI’S COINCIDENCE THEOREM FOR SET-VALUED MAPPINGS IN PROBABILISTIC METRIC SPACES

Zhang Shi-sheng   

  1. Department of Mathematics, Sichuan University, Chengdu
  • Received:1992-04-09 Online:1993-07-18 Published:1993-07-18
  • Supported by:
    Supported by National Natural Science Foundation of China

Abstract: By using the partial ordering method, a more general type, of Ekeland’s ariational principle and a set-valued Caristi’s coincidence theorem in probabilistic metric spaces are obtained. In addition, a direct simple proof of the equivalence between these two theorems in probabilistic metric spaces is given.

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