无须极限新微分法

本文摆脱传统的除法，以括代除，无须极限也能求出切线，作出定理Ａ。由此微积分完全改观。这是依靠实数有序“无漏”，建立强无穷小ω（Δｘ），取代ε—δ，实质又相互等价，作出定理Ｂ。由ω（Δｘ）定义无穷小与连续，由连续再作极限更为自然。聚点是极限的初步，大可发挥。     

无须极限新微分法

本文摆脱传统的除法，以括代除．无须极限也能求出切线，作出定理Ａ。由此微积分完全改观。这是依靠实数有序”无漏”，建立强无穷小ω（△ｘ），取代ε－δ，实质又相互等价，作出定理Ｂ，由ω（△ｘ）定义无穷小与连续，由连续再作极限更为自然。聚点是极限的初步，大可发挥。     

Lω-空间的ωδ-收敛理论

研究了Lω-空间的ωδ-收敛理论问题。在Lω-空间中引入分子网和理想的ωδ-极限点和ωδ-聚点等概念,系统讨论了这些概念的特征性质以及它们之间的关系。同时,利用分子网和理想的ωδ-收敛性概念,证明了序同态的(ω1,ω2)δ-连续性的若干充分必要条件。     

L-fuzzy保序算子空间的ωθ-收敛理论

研究L-fuzzy保序算子空间的ωθ-收敛理论问题。在L-fuzzy保序算子空间中引入分子网和理想的ωθ-极限点和ωθ-聚点等概念,系统讨论了这些概念的特征性质以及它们之间的关系。同时,利用分子网和理想的ωθ-收敛性概念,证明了序同态的(ω1,ω2)θ-连续性的若干充分必要条件。     

向量变分不等式的严格可行性问题

本篇文章首先定义了向量变分不等式的严格可行点概念,其次在假设了映射是强(D)-伪单调的情况下,证明了向量变分不等式解集非空有界与其严格可行点存在的等价性问题,推广了在数量变分不等式上得到的相应结果．     

General Construction of Non-Dense Disjoint Iteration Groups on the Circle

Let be a disjoint iteration group on the unit circle , that is a family of homeomorphisms such that F ^v1 ○ F ^v2 = F ^v1+v2 for v ₁, v ₂ ∈ V and each F ^v either is the identity mapping or has no fixed point ((V, +) is a 2-divisible nontrivial Abelian group). Denote by the set of all cluster points of {F ^v (z), v ∈ V} for . In this paper we give a general construction of disjoint iteration groups for which .     

Strong convergence theorems of an iterative scheme for strictly pseudocontractive mappings in Banach spaces

The article establishes the sufficient and necessary conditions for the strong convergence of the Ishikawa iterative scheme with random errors in the sense of Xu for a strictly pseudocontractive mapping in an arbitrary real Banach space under certain assumptions. It affirmatively answers the open question that put forth by Zeng. The results in this paper extend and improve the corresponding results of Browder, Petryshyn, Rhoades, Osilike and Zeng.     

Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process

In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature.     

L-fuzzy拓扑空间中的强聚点和强导集

本文提出了L-fuzzy拓扑空间的强聚点和强导集概念,这是既不同于[5]文的聚点也不同于[6]文的N-聚点的一种新的聚点定义,结果表明它具有一般拓扑学中相应的几乎全部结论。例如,A~-=A∨A~d,杨忠道定理成立,x_γ为L—fuzzy集A中的强聚点当且仅当A-x_1中有收敛于x_γ的分子网,以及当(L~x,δ)为ST_(-1)空间时,(A∨B)~d=A~d∨B~d,等等。     

A Method Which Generates Splines in H-Locally Convex Spaces and Connections with Vectorial Optimization

In this research paper we present a modality for generating splines in H-locally convex spaces which allows us to solve some problems of best approximation by linear subspaces of spline functions in these spaces. In this way one shows that the elements of best vectorial approximation coincide with the spline functions introduced by us in a previous research work. These splines are also the only elements of best simultaneous approximation by their generated linear subspaces with respect to any family of seminorms which induces the H-locally convex topology and, consequently, they are the only solutions for some frequent strong and vectorial optimization programs. Moreover, as we shall see in the numerical examples, our construction leads to discover orthogonal decompositions for H-locally convex spaces which, in general, are difficult to be identified.     

在空间W_0~(1，x)L~(P(x))(Q)及其共轭空间中的若干收敛性定理

本文证明了在空间W_0~(1,x)L~(p(x))(Q)及其共轭空间中三个收敛性定理.在附加较弱条件的情况下,给出了几乎处处收敛蕴含弱收敛,弱收敛蕴含强收敛.     

Strong convergence theorems of common elements for equilibrium problems and fixed point problems in banach spaces

In this paper,we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-φ-non-expansive mappings and the set of solutions of an equilibrium problem.We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property (K).