Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an α ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converges strongly to a common element of two sets under some mild conditions on parameters (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Commutators of Multilinear Singular Integrals with Lipschitz Functions

The boundedness of commutators of multilinear singular integrals with Lipschitz functions in product Lebesgue spaces is obtained.     

给定最大度的树的最大谱半径

In this paper, we characterize the trees with the largest Laplacian and adjacency spectral radii among all trees with fixed number of vertices and fixed maximal degree, respectively.     

非紧完备L-凸度量空间中的GLKKM定理及其对变分不等式和不动点的应用

In this paper, a new GLKKM type theorem is established for noncompact complete L-convex metric spaces. As applications, the properties of the solution set of variational in- equalities, intersection point sets, Ky Fan sections and maximal element sets are shown, and a Fan-Browder fixed point theorem is obtained.     

关于有限群的$CAP$-嵌入子群

A subgroup H of a finite group G is said to be CAP-embedded subgroup of G if, for each prime p dividing the order of H, there exists a CAP-subgroup K of G such that a Sylow p-subgroup of H is also a Sylow p-subgroup of K. In this paper some new results are obtained based on the assumption that some subgroups of prime power order have the CAP-embedded property in the group.     

时空混沌中的序图样研究

通过分段单调映射和线性耦合研究时空混沌中的序图样.理论分析发现,混沌映射的时不变性质导致映射曲线交点减少,为序图样缺失的一个重要原因.证明了线性耦合可以破坏映射的时不变性质,并给出曲线交点增加的条件.分析了耦合系统的映射、耦合系数和耦合次数对序图样的影响,并以实例和仿真实验验证了上述理论结果.     

Improved quadratic isogeometric element simulation of one-dimensional elastic wave propagation with central difference method

Two improved isogeometric quadratic elements and the central difference scheme are used to formulate the solution procedures of transient wave propagation problems. In the proposed procedures, the lumped matrices corresponding to the isogeometric elements are obtained. The stability conditions of the solution procedures are also acquired. The dispersion analysis is conducted to obtain the optimal Courant-Friedrichs-Lewy (CFL) number or time-step sizes corresponding to the spatial isogeometric elements. The dispersion analysis shows that the isogeometric quadratic element of the fourth-order dispersion error (called the isogeometric analysis (IGA)-f quadratic element) provides far more desirable numerical dissipation/dispersion than the element of the second-order dispersion error (called the IGA-s quadratic element) when appropriate time-step sizes are selected. The numerical simulations of one-dimensional (1D) transient wave propagation problems demonstrate the effectiveness of the proposed solution procedures.     

可数个非扩张映射族公共不动点的收敛

利用投影算子方法提出了一种新的迭代序列,并且证明了该迭代序列在N ST-条件下收敛到可数多个非扩张映射族的公共不动点和变分不等式的解,此结果推广并改进了一些相关结论.     

The maximal C*-algebra of quotients as an operator bimodule

In this article we extend the work on strongly p-embedded subgroups in Parker and Stroth (Strongly p-embedded subgroups, arxiv:0901.0805) to include the Lie type groups of rank 2.     

Double piling structure of matrix monotone functions and of matrix convex functions

There are basic equivalent assertions known for operator monotone functions and operator convex functions in two papers by Hansen and Pedersen. In this note we consider their results as correlation problem between two sequences of matrix n-monotone functions and matrix n-convex functions, and we focus the following three assertions at each label n among them:

(i) f(0)0 and f is n-convex in [0,α),

(ii) For each matrix a with its spectrum in [0,α) and a contraction c in the matrix algebra M_n,

f(cac)cf(a)c,