In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings. The notion of irresolute...In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings. The notion of irresolute topological vector spaces is analog to the notion of topological vector spaces, but mathematically it behaves differently. An example is given to show that an irresolute topological vector space is not a topological vector space. It is proved that: 1) Irresolute topological vector spaces possess open hereditary property;2) A homomorphism of irresolute topological vector spaces is irresolute if and only if it is irresolute at identity element;3) In irresolute topological vector spaces, the scalar multiple of semi compact set is semi compact;4) In irresolute topological vector spaces, every semi open set is translationally invariant.展开更多
The present paper is mainly concerned with several new types of fixed point theorems in different spaces such as cone metric spaces and fuzzy metric spaces. By using these obtained fixed point theorems, we then prove ...The present paper is mainly concerned with several new types of fixed point theorems in different spaces such as cone metric spaces and fuzzy metric spaces. By using these obtained fixed point theorems, we then prove the existence and uniqueness of the solutions to two classes of two-point ordinary differential equation problems.展开更多
Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem ment...Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem mentioned by Mehta.展开更多
为了实现异构模糊本体之间的知识共享和重用等语义互操作,需要为它们建立映射关系,为此提出了一种新的模糊本体映射方法 VSM-FR(vector space model based on fuzzy relation)。VSM-FR方法首先利用模糊本体中的模糊关系构建向量空间模型...为了实现异构模糊本体之间的知识共享和重用等语义互操作,需要为它们建立映射关系,为此提出了一种新的模糊本体映射方法 VSM-FR(vector space model based on fuzzy relation)。VSM-FR方法首先利用模糊本体中的模糊关系构建向量空间模型;然后将模糊概念表示成此向量空间模型中的向量,这样模糊概念之间的相似度就可以通过向量运算的方法来获得;最后为相似度大于给定阈值的模糊概念对建立映射关系。附带的实例也充分地证明了VSM-FR方法在处理模糊本体映射时的可行性和有效性。展开更多
文摘In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings. The notion of irresolute topological vector spaces is analog to the notion of topological vector spaces, but mathematically it behaves differently. An example is given to show that an irresolute topological vector space is not a topological vector space. It is proved that: 1) Irresolute topological vector spaces possess open hereditary property;2) A homomorphism of irresolute topological vector spaces is irresolute if and only if it is irresolute at identity element;3) In irresolute topological vector spaces, the scalar multiple of semi compact set is semi compact;4) In irresolute topological vector spaces, every semi open set is translationally invariant.
文摘The present paper is mainly concerned with several new types of fixed point theorems in different spaces such as cone metric spaces and fuzzy metric spaces. By using these obtained fixed point theorems, we then prove the existence and uniqueness of the solutions to two classes of two-point ordinary differential equation problems.
基金Project Supported by the National Natural Science Foundation of China
文摘Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem mentioned by Mehta.
文摘为了实现异构模糊本体之间的知识共享和重用等语义互操作,需要为它们建立映射关系,为此提出了一种新的模糊本体映射方法 VSM-FR(vector space model based on fuzzy relation)。VSM-FR方法首先利用模糊本体中的模糊关系构建向量空间模型;然后将模糊概念表示成此向量空间模型中的向量,这样模糊概念之间的相似度就可以通过向量运算的方法来获得;最后为相似度大于给定阈值的模糊概念对建立映射关系。附带的实例也充分地证明了VSM-FR方法在处理模糊本体映射时的可行性和有效性。
