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EKELAND’S VARIATIONAL PRINCIPLE AND CARISTI’S FIXED POINT THEOREM IN PROBABILISTIC METRIC SPACE
【摘要】 <正> The main purpose of this paper is to establish the Ekeland’s variational principle andCaristi’s fixed point theorem in probabilistic metric spaces and to give a direct simple proofof the equivalence between these two theorems in the probabilistic metric space. The resultspresented in this paper generalize the corresponding results of [9--12].
【Abstract】 The main purpose of this paper is to establish the Ekeland’s variational principle andCaristi’s fixed point theorem in probabilistic metric spaces and to give a direct simple proofof the equivalence between these two theorems in the probabilistic metric space. The resultspresented in this paper generalize the corresponding results of [9--12].
【关键词】 probabilistic；
variational；
satis；
generalize；
equivalence；
SPACE；
assume；
whenever；
suppose；
partially；
【基金】 The project is supported by National Natural Science Foundation of China
- 【文献出处】 Acta Mathematicae Applicatae Sinica(English Series) ,应用数学学报(英文版) , 编辑部邮箱 ,1991年03期
- 【被引频次】6
- 【下载频次】27