In this paper we first introduce the concept of probabilistic interval space. Under this framework a new version of KKM theorem is obtained. As application, we utilize this result to study some new minimax theorem. ...In this paper we first introduce the concept of probabilistic interval space. Under this framework a new version of KKM theorem is obtained. As application, we utilize this result to study some new minimax theorem. section theorem, matching theorem ,coincidence theorem and fixed point theorem in probabilistic metric spaces. The results presented in this paper not only contain the main resull of von Neumann ￣[7] as its special case but also extend the corresponding resulls of [1, 3, 4, 6, 8] to the case of probabilistic metric spaces.展开更多
In this paper,we introduce the concept ofε-chainable PM-space,and give severalfixed point theorems of one-valued and multivalued local contraction mapping on the kindof spaces.
1. Introduction In [1], let (E, F)be a probabilistic metric (PM) space, and then (E. F, T_W) be a generalized Menger (GM) space, where T_W(a, b)= It follows that all Menger’s triangle inequalities can be given with G...1. Introduction In [1], let (E, F)be a probabilistic metric (PM) space, and then (E. F, T_W) be a generalized Menger (GM) space, where T_W(a, b)= It follows that all Menger’s triangle inequalities can be given with GM spaces. However, the weak t-norm展开更多
文摘In this paper we first introduce the concept of probabilistic interval space. Under this framework a new version of KKM theorem is obtained. As application, we utilize this result to study some new minimax theorem. section theorem, matching theorem ,coincidence theorem and fixed point theorem in probabilistic metric spaces. The results presented in this paper not only contain the main resull of von Neumann ￣[7] as its special case but also extend the corresponding resulls of [1, 3, 4, 6, 8] to the case of probabilistic metric spaces.
文摘 In this paper,we introduce the concept ofε-chainable PM-space,and give severalfixed point theorems of one-valued and multivalued local contraction mapping on the kindof spaces.
文摘1. Introduction In [1], let (E, F)be a probabilistic metric (PM) space, and then (E. F, T_W) be a generalized Menger (GM) space, where T_W(a, b)= It follows that all Menger’s triangle inequalities can be given with GM spaces. However, the weak t-norm
