Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces |
| |
| Authors: | Shih-sen Chang Yeol Je Cho Jong Kyu Kim |
| |
| Affiliation: | (1) Department of Mathematics, Sichuan University, 610064 Chengdu, Sichuan, People's Republic of China;(2) Department of Mathematics, Gyeongsang National University, 660-701 Chinju, Korea;(3) Department of Mathematics, Kyungnam University, 630-701 Masan, Korea |
| |
| 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.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. |
| |
| Keywords: | Primary 47H10 34H25 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
