L-预拓扑空间的强连通集和局部强连通L-预拓扑空间

定义L-预拓扑空间中的强连通L-子集以及L-预拓扑空间的局部强连通性,证明了它们和拓扑空间中的连通子集以及局部连通性拓扑空间有类似的性质,证明了局部强连通L-预拓扑空间和连续映射构成的范畴L-LSCPS是topological construct.     

L-拓扑空间相对积空间的s-连通性

证明了s-连通性关于相对乘积运算是可乘的且是L-好推广。     

相对积空间的Os-连通性

研究L-拓扑空间的相对乘积空间的Os-连通性。     

L-闭包空间的s-连通性(英文)

在L-闭包空间中引入了s-连通性的概念,讨论了s-连通性的基本性质,推广了模糊拓扑分子格里关于s-连通性的相关结果.     

ωθ-连通空间的若干性质

证明了L-ωθ连通性是任意可积性和L-好的推广,并给出它的樊畿定理.     

L-预拓扑空间中的近似L-开集及相关的连通性和范畴性质

研究L-预拓扑空间中L-开集的一些近似形式(其中L是有逆合对应的C-格):θ-L-开集,δ-L-开集,α-L-开集以及β-L-开集。证明了(1)当L的最大元1是并既约元时L-预拓扑空间的连通性、θ-连通性、δ-连通性和α-连通性是等价的;(2)θLTop是LTopsθ、LTop以及LTopθ的反射满子范畴,δLTop是LTopsδ和LTopδ的反射满子范畴;(3)当格L为幂集格时αLTop是LTopsα和LTopα的余反射满子范畴;θLPTop是LPTopsθ、LPTop以及LPTopθ的反射满子范畴,δLPTop是LPTopsδ和LPTopδ的反射满子范畴。     

L-闭包空间的βc-连通性

在L-闭包空间中定义了βc-连通性和βc-连通空间的概念,并给出了其等价刻画,讨论了它的若干好的性质:弱拓扑不变性、L-好的推广等     

L-双拓扑空间的LFα-p连通性的若干性质

文[1]首先提出了L-拓扑空间中的p-开集、p-闭集等概念,本文以此为基础,引入了L-双fuzzy拓扑空间的α-p连通性的概念,并研究了其若干基本性质.     

LF拓扑空间的Os-θ连通性(Ⅱ)

证明LF拓扑空间的Os-θ连通性是θ-弱同胚不变性,是有限可积性和“L-好的推广”,并给出其樊畿定理。     

分形集的拟一致不连通性

一致不连通性在分形几何的研究中起重要作用.本文讨论了拟一致不连通性:对于一类由数列定义的集合,得到其(拟)一致不连通性成立的充要条件;还引入了一类缓变莫朗集,得到其拟一致不连通性成立的一个充分条件.     

局部化单调原理及应用

以下我们总假定(X,d)表度量空间,简记为X,T为X的自映象,B:X?R_+~0=[0,+∞)。我们称X满足广义TCS收敛条件,若存在一点x_0∈X使得{B(T~nx_0)}收敛,蕴含{T~nx_0}有一个收敛子列。称σ(x,T)={x,T_x,T~2x,…,T~nx,…}为x的T轨道。称函数B(x)在p∈X点轨道连续,若{x_n}?σ(x,T),x_n→p,有B(x_n)?B(p)。若B(x)在X内每一点轨道连续,称B(x)在X上轨道连续。我们有如下结果。     

Fixed Point Tehorems in Fuzzy Inner Product Spaces

In this paper, we obtain some new fixed point theorems in fuzzy-Banach spaces by considering the t-norms of h-type and a linear mapping of weakly demicompact.     

On Commutators of Idempotents

It is shown that a pair of idempotent operators on a Banach space is triangularizable if their commutator is nilpotent. Moreover, if every operator on Hilbert space has an invariant subspace, then a pair of idempotents on Hilbert space is triangularizable if their commutator is quasinilpotent. These results are generalized from idempotents to quadratic operators.     

模糊化测度空间及模糊化测度(Ⅰ)

用连续真值逻辑上的语义的方法建立了模糊化σ-代数和模糊化可测空间,并在其上建立了,模糊化测度,较好地推广了经典测度理论的相关结果。     

On Commutators of Idempotents

It is shown that a pair of idempotent operators on a Banach space is triangularizable if their commutator is nilpotent. Moreover, if every operator on Hilbert space has an invariant subspace, then a pair of idempotents on Hilbert space is triangularizable if their commutator is quasinilpotent. These results are generalized from idempotents to quadratic operators.     

Very Convex Banach Spaces

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Topological versions of passy– prisman’S minimax theorem

A topological version of Passy–Prisman’s minimax Theorem is proved. We introduce to pological cones and we prove our results under connectedness assumptions. We give examples of cones in spaces without any linear structure. Even when interpreted in a linear framework our results are new and improve Passy–Prisman’s minimax Theorem, and consequently Sion’s minimax Theorem     

A new local search for continuous location problems

This paper presents a new local search approach for solving continuous location problems. The main idea is to exploit the relation between the continuous model and its discrete counterpart. A local search is first conducted in the continuous space until a local optimum is reached. It then switches to a discrete space that represents a discretisation of the continuous model to find an improved solution from there. The process continues switching between the two problem formulations until no further improvement can be found in either. Thus, we may view the procedure as a new adaption of formulation space search. The local search is applied to the multi-source Weber problem where encouraging results are obtained. This local search is also embedded within Variable Neighbourhood Search producing excellent results.     

On k-Strictly Convex and k-Very Smooth Banach Spaces

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