In this paper, we introduce the concept of – chainable intuitionistic fuzzy metric space akin to the notion of – chainable fuzzy metric space introduced by Cho, and Jung [1] and prove a common fixed point theorem fo...In this paper, we introduce the concept of – chainable intuitionistic fuzzy metric space akin to the notion of – chainable fuzzy metric space introduced by Cho, and Jung [1] and prove a common fixed point theorem for weakly compatible mappings in this newly defined space.展开更多
Let l=[0,1] and ω<sub>0</sub> be the first limit ordinal number. Assume that f:l→l is continuous, piece-wise monotone and the set of periods of f is {2<sup>i</sup>: i∈{0}∪N}. It is known th...Let l=[0,1] and ω<sub>0</sub> be the first limit ordinal number. Assume that f:l→l is continuous, piece-wise monotone and the set of periods of f is {2<sup>i</sup>: i∈{0}∪N}. It is known that the order of （l, f） is ω<sub>0</sub> or ω<sub>0</sub> + 1. It is shown that the order of the inverse limit space （l, f） is ω<sub>0</sub> （resp. ω<sub>0</sub> + 1） if and only if f is not （resp. is） chaotic in the sense of Li-Yorke.展开更多
The purpose of this note is to answer a question of J. A. Toledo ([1, Question 4.14]): Does there exist a chainable continuum, other than the pseudo-arc, admitting arbitrarily small homeomorphisms of period n for som...The purpose of this note is to answer a question of J. A. Toledo ([1, Question 4.14]): Does there exist a chainable continuum, other than the pseudo-arc, admitting arbitrarily small homeomorphisms of period n for some n】2? We observe surprisedly that the wedge M of pseudo-arc and unit close interval is such an example. We prove.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.
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
文摘In this paper, we introduce the concept of – chainable intuitionistic fuzzy metric space akin to the notion of – chainable fuzzy metric space introduced by Cho, and Jung [1] and prove a common fixed point theorem for weakly compatible mappings in this newly defined space.
文摘Let l=[0,1] and ω<sub>0</sub> be the first limit ordinal number. Assume that f:l→l is continuous, piece-wise monotone and the set of periods of f is {2<sup>i</sup>: i∈{0}∪N}. It is known that the order of （l, f） is ω<sub>0</sub> or ω<sub>0</sub> + 1. It is shown that the order of the inverse limit space （l, f） is ω<sub>0</sub> （resp. ω<sub>0</sub> + 1） if and only if f is not （resp. is） chaotic in the sense of Li-Yorke.
基金Project supported by the National Natural Science Foundation of China
文摘The purpose of this note is to answer a question of J. A. Toledo ([1, Question 4.14]): Does there exist a chainable continuum, other than the pseudo-arc, admitting arbitrarily small homeomorphisms of period n for some n】2? We observe surprisedly that the wedge M of pseudo-arc and unit close interval is such an example. We prove.
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.
