Zobrazeno 1 - 10
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pro vyhledávání: '"Jin-xuan Fang"'
Autor:
Hua-Peng Zhang, Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 204:86-92
First, the notion of a family of generalized L-fuzzy norms on vector spaces is proposed. Then, the L-topology induced by a family of generalized L-fuzzy norms is investigated. Finally, a necessary and sufficient condition for an L-topological vector
Autor:
Ming-hua Mao, Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 195:100-108
In this paper, the L-topological structure of L-fuzzy normed linear spaces is discussed. Firstly, we prove that the L-fuzzy normed linear space is a special type of Hausdorff locally convex and locally bounded L-topological vector space by a new way.
Autor:
Hua-Peng Zhang, Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 182:13-20
In this paper, the concept of a family of L -fuzzy pseudo-norms on vector spaces is proposed and the characterization of L -vector topologies in terms of a family of L -fuzzy pseudo-norms is presented. As applications of the characterization, the Hau
Autor:
Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 166:65-74
In this paper, we continue to investigate the completion of a fuzzy metric space (in the sense of Kaleva and Seikkala). As such, an improved completion theorem is proved, which is an essential generalization of the corresponding result of Kaleva back
Autor:
Jin-xuan Fang, Hua-Peng Zhang
Publikováno v:
Fuzzy Sets and Systems. 162:53-63
In this paper, the notion of generalized locally bounded L-topological vector spaces is proposed. The relationship between this kind of space and locally bounded L-topological vector space as defined by Yan and Fang [Locally bounded L-topological vec
Autor:
Hua-Peng Zhang, Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 160:2926-2936
In this paper, a characterization for an I(L)-topological space to be generated by a given co-tower of L-topological spaces is obtained. Moreover, the relationship between some properties of an I(L)-topological vector space generated by a co-tower of
Autor:
Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 160:3013-3016
In this note, we show by a counterexample that a proposition on L-homeomorphism property of the left and right translations in L-topological groups given by Bayoumi [On initial and final L-topological groups, Fuzzy Sets and Systems 156 (2005) 43-54]
Autor:
Jin-xuan Fang
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 71:1833-1843
In this paper, we prove some new common fixed point theorems for compatible and weakly compatible self-maps on Menger space under ϕ -contractive conditions. Our results improve and generalize the results of Singh and Jain [B. Singh, S. Jain, A fixed
Autor:
Jin-xuan Fang, Zhudeng Wang
Publikováno v:
Fuzzy Sets and Systems. 160:2086-2096
Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval, and left and right uninorms are a non-commutative extension of uninorms. In this paper, we further study left and
Autor:
Qiong-Yu Xue, Jin-xuan Fang
Publikováno v:
Fuzzy Sets and Systems. 160:1620-1631
In this paper, a generalized form of the Bolzano theorem in classical analysis to fuzzy number space and a characterization of compact subsets in fuzzy number space are given. Some properties of the fuzzy-valued continuous functions defined on a comp