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 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
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 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.
