The Convergence of Fuzzy Complex Valued Series

ＴｈｅＣｏｎｖｅｒｇｅｎｃｅｏｆＦｕｚｚｙＣｏｍｐｌｅｘＶａｌｕｅｄＳｅｒｉｅｓＴｈｅＣｏｎｖｅｒｇｅｎｃｅｏｆＦｕｚｚｙＣｏｍｐｌｅｘＶａｌｕｅｄＳｅｒｉｅｓＷａｎｇＧｕｉｊｕｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＴｏｎｇｈｕａＴｅａ...     

Some Open Problems in Geometric Topologyof Low Dimensions

ＳｏｍｅＯｐｅｎＰｒｏｂｌｅｍｓｉｎＧｅｏｍｅｔｒｉｃＴｏｐｏｌｏｇｙｏｆＬｏｗＤｉｍｅｎｓｉｏｎｓ￥ＡｌｂｅｒｔｏＣＡＶＩＣＣＨＩＯＬＩ（ＤｅｐａｒｔｍｅｎｔＯｆＭａｔｈｅｍａｔｉｃｓ，ＵｎｉｖｅｒｓｉｔｙｏｆＭｏｄｅｎａ，ＶｉａＣａｍｐｉ２１３／...     

A GLOBAL ALGORITHM IN THE NUMERICAL RESOLUTION OF THEVISCOUS／INVISCID COUPLED PROBLEM

ＡＧＬＯＢＡＬＡＬＧＯＲＩＴＨＭＩＮＴＨＥＮＵＭＥＲＩＣＡＬＲＥＳＯＬＵＴＩＯＮＯＦＴＨＥＶＩＳＣＯＵＳ／ＩＮＶＩＳＣＩＤＣＯＵＰＬＥＤＰＲＯＢＬＥＭＸＵＣＨＵＡＮＪＵＭＡＤＡＹ，Ｙ．ＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＯｃｔｏｂｅｒ１７，１９...     

CERTAIN COMMUTATIVITY CONDITIONS FOR RINGS WITH UNITY

ＣＥＲＴＡＩＮＣＯＭＭＵＴＡＴＩＶＩＴＹＣＯＮＤＩＴＩＯＮＳＦＯＲＲＩＮＧＳＷＩＴＨＵＮＩＴＹＶ．Ｗ．Ｊａｃｏｂ，Ｍ．ＡｓｈｒａｆａｎｄＭ．Ａ．Ｑｕａｄｒｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓＡｌｉｇａｒｈＭｕｓｌｉｍＵｎｉｖｅｒｓｉｔ...     

An Interpretation of the Poincare Morphism for Compact Toric Varieties

ＡｎＩｎｔｅｒｐｒｅｔａｔｉｏｎｏｆｔｈｅＰｏｉｎｃａｒéＭｏｒｐｈｉｓｍｆｏｒＣｏｍｐａｃｔＴｏｒｉｃＶａｒｉｅｔｉｅｓ￥Ｊｅａｎ－ＰａｕｌＢＲＡＳＳＥＬＥＴ（ＣＩＲＭ－Ｍａｒｓｅｉｌｌｅ－ＦｒａｎｃｅＳｉＧｍＡＣＮＲＳ，ＣＩＲＭＬｕｍｉｎｙＣａｓ...     

FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS

ＦＡＴＯＵＰＲＯＰＥＲＴＹＯＮＨＡＲＭＯＮＩＣＭＡＰＳＦＲＯＭＣＯＭＰＬＥＴＥＭＡＮＩＦＯＬＤＳＷＩＴＨＮＯＮＮＥＧＡＴＩＶＥＣＵＲＶＡＴＵＲＥＡＴＩＮＦＩＮＩＴＹＩＮＴＯＣＯＮＶＥＸＢＡＬＬＳ￥ＹＡＮＧＹＩＨＵＡｂｓｔｒａｃｔ：Ｔｈｅａｕｔｈｏｒｃ...     

OrderedandChaoticModesofSurfaceWavePaternsinAVerticalyOscilatingFlui

ＯｒｄｅｒｅｄａｎｄＣｈａｏｔｉｃＭｏｄｅｓｏｆＳｕｒｆａｃｅＷａｖｅＰａｔｅｒｎｓｉｎＡＶｅｒｔｉｃａｌｙＯｓｃｉｌａｔｉｎｇＦｌｕｉｄ１ＸｕｅｑｕａｎＥ＆ＹｕｘｉｎＧＡＯ（ＬａｂｏｒａｔｏｒｙｆｏｒＮｏｎｌｉｎｅａｒＭｅｃｈａｎｉｃｓｏｆＣｏｎｔ...     

MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

ＭＥＡＮＣＯＮＶＥＲＧＥＮＣＥＯＦＳＯＭＥＰＯＳＩＴＩＶＥＯＰＥＲＡＴＯＲＳＳｈｉＹｉｎｇｇｕａｎｇ（史应光）（ＣｏｍｐｕｔｉｎｇＣｅｎｔｅｒ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，Ｐ．Ｏ．Ｂｏｘ２７１９，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈ...     

COMPLETE CONVERGENCE OF ERROR VARIANCE ESITIMATES UNDER Ф－MIXING ERROR IN LINEAR MODELS

ＣＯＭＰＬＥＴＥＣＯＮＶＥＲＧＥＮＣＥＯＦＥＲＲＯＲＶＡＲＩＡＮＣＥＥＳＩＴＩＭＡＴＥＳＵＮＤＥＲ￠－ＭＩＸＩＮＧＥＲＲＯＲＩＮＬＩＮＥＡＲＭＯＤＥＬＳＸｕｅＬｉｕｇｅｎ（薛留根）（ＸｕｃｈａｎｇＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ，Ｈｅｎａｎ４６１０００...     

A NEW PRINCIPAL PIVOTING SCHEME FOR BOX LINEAR COMPLEMENTARITY PROBLEMS

ＡＮＥＷＰＲＩＮＣＩＰＡＬＰＩＶＯＴＩＮＧＳＣＨＥＭＥＦＯＲＢＯＸＬＩＮＥＡＲＣＯＭＰＬＥＭＥＮＴＡＲＩＴＹＰＲＯＢＬＥＭＳＷＡＮＧＺＨＥＭＩＮＡｂｓｔｒａｃｔＪｕｄｉｃｅａｎｄＰｉｒｅｓｄｅｖｅｌｏｐｅｄｉｎｒｅｃｅｎｔｙｅａｒｓｐｒｉｎｃｉ...     

集值B－H－S变分不等式及其应用

本文在Ｄａｎａｃｈ空间中，研究了集值Ｂ－Ｈ－Ｓ变分不等式问题和相补问题．将有限维空间、单值映象的若干结果改进并推广到无穷维空间．利用本文获得的结果．我们解决了无穷维空间中的鞍点问题和两类规划问题．     

A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces

In this paper, we introduce two iterative schemes by the general iterative method for finding a common element of the set of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. Then, we prove two strong convergence theorems for nonexpansive mappings to solve a unique solution of the variational inequality which is the optimality condition for the minimization problem. These results extended and improved the corresponding results of Marino and Xu [G. Marino, H.K. Xu, A general iterative method for nonexpansive mapping in Hilbert spaces, J. Math. Anal. Appl. 318 (2006) 43-52], S. Takahashi and W. Takahashi [S. Takahashi, W. Takahashi, Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces, J. Math. Anal. Appl. 331 (1) (2007) 506-515], and many others.     

Convergence analysis for system of equilibrium problems and left bregman strongly relatively nonexpansive mapping

In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature.     

CONVERGENCE ANALYSIS FOR SYSTEM OF EQUILIBRIUM PROBLEMS AND LEFT BREGMAN STRONGLY RELATIVELY NONEXPANSIVE MAPPING

In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature.     

On the strong convergence of a projection-based algorithm in Hilbert spaces

In this paper, we introduce a new projection-based algorithm for solving variational inequality problems with a Lipschitz continuous pseudo-monotone mapping in Hilbert spaces. We prove a strong convergence of the generated sequences. The numerical behaviors of the proposed algorithm on test problems are illustrated and compared with previously known algorithms.     

Hybrid inertial proximal algorithm for the split variational inclusion problem in Hilbert spaces with applications

In this paper, we present hybrid inertial proximal algorithms for the split variational inclusion problems in Hilbert spaces, and provide convergence theorems for the proposed algorithms. In fact, an inertial type algorithm was proposed as an acceleration process. As application, we study split minimization problem, split feasibility problem, relaxed split feasibility problem and linear inverse problem in real Hilbert spaces. Finally, numerical results are given for our main results.     

Fixed point theorems for a class of nonlinear operators in Banach spaces and applications

In this paper, we study a class of nonlinear operator equations with more extensive conditions in ordered Banach spaces. By using the cone theory and Banach contraction mapping principle, the existence and uniqueness of solutions for such equations are investigated without demanding the existence of upper and lower solutions and compactness and continuity conditions. The results in this paper are applied to a class of abstract semilinear evolution equations with noncompact semigroup in Banach spaces and the initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces. The results obtained here improve and generalize many known results.     

On improper integrals and differential equations in ordered Banach spaces

In this paper we study the existence of improper integrals of vector-valued mappings. The so obtained results combined with fixed point results in partially ordered functions spaces are then applied to derive existence and comparison results for least and greatest solutions of initial- and boundary-value problems in ordered Banach spaces. The considered problems can be singular, functional, nonlocal, implicit and discontinuous. Concrete examples are also solved.     

Algorithms with new parameter conditions for split variational inclusion problems in Hilbert spaces with application to split feasibility problem

Split variational inclusion problem is an important problem, and it is a generalization of the split feasibility problem. In this paper, we present feasible algorithms for the split variational inclusion problems in Hilbert spaces, and provide convergence theorems for these algorithms. As application, we study the split feasibility problem in real Hilbert spaces. Final, numerical results are given for our main results.     

On general infinite dimensional complementarity problems

The aim of this paper is to present a way to study directly generalized complementarity problems in normed spaces. By means of new results on infinite dimensional Lagrange theory we show some optimality conditions which reduce the study of the problems to the one of suitable systems of equalities and inequalities.