Abstract
By using the partial ordering method, a more general type of Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces are given in this paper. In addition, we give also a directly simple proof of the equivalence between theses theorems in probabilistic metric spaces.
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This paper was supported financially from the National Natural Science Foundation of China, 1994, and the Basic Science Research Institute Program, Ministry of Education, Korea, 1995, Project No. BSRI-95-1405.
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Chang, Ss., Cho, Y.J. & Kim, J.K. Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces. Period Math Hung 33, 83–92 (1996). https://doi.org/10.1007/BF02093505
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DOI: https://doi.org/10.1007/BF02093505