An Iterative Method for Split Variational Inclusion Problem and Split Fixed Point Problem for Averaged Mappings

In this paper, we use resolvent operator technology to construct a viscosity approximate algorithm to approximate a common solution of split variational inclusion problem and split fixed point problem for an averaged mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution of split variational inclusion problem and split fixed point problem for averaged mappings which is also the unique solution of the variational inequality problem. The results presented here improve and extend the corresponding results in this area.

System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces

A new system of the set-valued mixed quasi-variational-like inclusions （SSMQVLI） involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone operators, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new results have extended and improved previous results.

A NEW ITERATIVE METHOD FOR FINDING COMMON SOLUTIONS OF GENERALIZED EQUILIBRIUM PROBLEM,FIXED POINT PROBLEM OF INFINITE k-STRICT PSEUDO-CONTRACTIVE MAPPINGS,AND QUASI-VARIATIONAL INCLUSION PROBLEM

In this article, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems, the set of common fixed point for a family of infinite k-strict pseudo-contractive mappings, and the set of solutions of the variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extends the recent results in G.L.Acedo and H.K.Xu [2], Zhang, Lee and Chan [8], Wakahashi and Toyoda [9], Takahashi and Takahashi [I0] and S. S. Chang, H. W. Joseph Lee and C. K. Chan [II], S.Takahashi and W.Takahashi [12]. Moreover, the method of proof adopted in this article is different from those of [4] and [12].

ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions.

STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES

The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in the paper to study the split equality feasibility prob- lems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new.

PLANE PROBLEMS IN PIEZOELECTRIC MEDIAWITH ELLIPTIC INCLUSION

This paper expresses potential function of complex variable in Fabere series and the solution in closed form is provided for the plane stress problems in piezoelectric media with elliptic inclusion. It is shown from the solution that the stress, strain, electric field intensity and electric displacement in inclusion are all constant. In addition, the electromechanical behavior of piezoelectric influence at the elliptic rim of the infinite matrix with only acting mechanical or electric load is discussed with numerical examples.

Systems of generalized quasi-variational inclusion (disclusion) problems in FC-spaces

By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces proposed by the author, some new existence theorems of solutions for systems of generalized quasi-variational inclusion （disclusion） problems are proved in FC-spaces without convexity structures. These results improve and generalize some results in recent publications from closed convex subsets of topological vector spaces to FC-spaces under weaker conditions.

Systems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally FC-uniform spaces

In this paper, we introduce some new systems of generalized vector quasi-variational inclusion problems and system of generalized vector ideal （resp., proper, Pareto, weak） quasi-optimization problems in locally FC-uniform spaces without convexity structure. By using the KKM type theorem and Himmelberg type fixed point theorem proposed by the author, some new existence theorems of solutions for the systems of generalized vector quasi-variational inclusion problems are proved. As to its applications, we obtain some existence results of solutions for systems of generalized vector quasi-optimization problems.

A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

In this article,we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds.As applications,we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

Current Situation of Digital Inclusive Finance in China

Inclusive finance is not only an innovation in financial service concepts but also an institutional arrangement to address the imbalance in social and economic development.Therefore,it is particularly necessary to study the current development status,development level,and challenges of inclusive finance and to conduct research on these issues.Overall,inclusive finance has demonstrated a positive momentum of development,but improvements are still needed in terms of market players,products and services,and the external ecosystem.China’s inclusive finance is still in its infancy,making it essential to accelerate its development and promote inclusive finance in the country.

NEW SYSTEMS OF GENERALIZED QUASI-VARIATIONAL INCLUSIONS IN FC-SPACES AND APPLICATIONS

In this paper, we study some new systems of generalized quasi-variational inclusion problems in FC-spaces without convexity structure.By applying an existence theorem of maximal elements of set-valued mappings due to the author, some new existence theorems of solutions for the systems of generalized quasi-variational inclusion problems are proved in noncompact FC-spaces. As applications, some existence results of solutions for the system of quasi-optimization problems and mathematical programs with the systems of generalized quasi-variational inclusion constraints are obtained in FC-spaces.

On the Approximation Solvability of the Abstract Differential Inclusion

The approximation solvability of the abstract differential inclusion du/dt∈f(t,u) is presented. The convergence of the approximation solution and the existence of the solution for abstract evolution multivalued problem are discussed.

GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY

In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.

ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS

In this paper,we consider system of variational inclusions and its several spacial cases,namely,alternating point problems,system of variational inequalities,etc.,in the setting of Hadamard manifolds.We propose an iterative algorithm for solving system of variational inclusions and study its convergence analysis.Several special cases of the proposed algorithm and convergence result are also presented.We present application to constraints minimization problems for bifunctions in the setting of Hadamard manifolds.At the end,we illustrate proposed algorithms and convergence analysis by a numerical example.The algorithms and convergence results of this paper either improve or extend known algorithms and convergence results from linear structure to Hadamard manifolds.

INTERACTION BETWEEN DISLOCATION AND TWO CIRCULAR CYLINDRICAL INCLUSIONS

The elastic field of the infinite homogeneous medium with two circular cylindrical inclusions under the action of a screw dislocation was investigated. The analytical solution was obtained using the conformal mapping and the theorem of analytical continuation. It has been shown that the elastic field depends on the shear moduli of individual phase, the geometric parameters of the system, and the position and relative slip of the screw dislocation. The specific cases, that two circular cylindrical inclusions are tangent to each other and the screw dislocation is located in inclusions, were considered. The numerical results were illustrated to show the interaction between the dislocation and two circular cylindrical inclusions. (Edited author abstract) 13 Refs.

Research of Problems of Left-behind Children in the View of Inclusive Education

Inclusive Education is one of the most advanced educational concepts at the present time. It advocates raising the participation of children and alleviating the exclusion problems between them at the same time. Although China is a large agricultural country, under the situation of fast-growing economic development, an increasing number of adults prefer to work in big city,we call this"working fever". This situation contributes to a growing number of Left-behind children, the problem became severer. As a major receiver of basic education in China, Left-behind children may easily suffering from the problems due to their family. This violates the original intention of Inclusive Education.

工业智能化与全球碳减排

基于1993—2019年51个国家的平衡面板数据,运用双重固定效应模型、中介效应模型和门槛效应模型,分析了工业智能化对全球碳减排的影响和内在机理。研究发现:工业智能化能够显著推动全球碳减排,经过一系列稳健性检验后该结论依然成立。中介效应回归结果表明,工业智能化可以通过制造业高端化和产业结构升级渠道推动全球碳减排。门槛效应回归结果表明,全球碳减排不仅受工业智能化自身发展水平的动态影响,工业集聚度在其中也发挥着调节作用。进一步研究发现,工业智能化能够更大幅度降低全球富裕国家和富裕群体的人均碳足迹,有助于缓解全球碳排放的不平等。因此,应当推动人工智能技术在工业领域的广泛应用,通过跟踪碳足迹评估政策的实际环境影响,推动工业智能化与碳减排领域的国际合作。

一种求解包含问题的算法研究

一种实希尔伯特空间中求解包含问题的算法被提出,所提出的算法基于向前向后方法、压缩方法、惯性方法和无需搜索的自适应步长。算法的特点为迭代中多次使用惯性加速方法,且自适应步长随着迭代次数增加可能增大。在包含问题解集非空、一个映射极大单调、另一个映射单调且利普希茨连续的假设下,算法的强收敛性被证明。

广东省数字普惠金融发展指数研究

实施普惠金融数字化改革,有助于构建现代金融体系。通过对广东省2011年到2022年的数字普惠金融进行研究,研究结果表明:广东省数字普惠金融整体具有较大提升,数字普惠金融发展与当地经济发展水平相关度较高,数字普惠金融发展区域明显不平衡,数字普惠金融表现出鲜明的县域“圈层结构特征”。针对广东省数字普惠金融在发展中所面临的部门数据共享困难、数字安全防护不足及农村地区下沉缓慢等问题,提出解决问题的对策,以推进广东省数字普惠金融发展。

社会接纳调节社会排斥对情绪冲突适应的影响

情绪冲突适应是指人们调动认知控制资源解决当前情绪冲突会促进对随后情绪冲突任务的解决。基于社会排斥的自我情绪调节理论和自我决定理论,本研究通过两个实验考察社会排斥是否影响情绪冲突适应以及社会接纳是否调节社会排斥对情绪冲突适应的影响。在实验1中被试被随机分为接纳组和排斥组。结果发现,排斥组被试在反应时上的情绪冲突适应效应小于接纳组。在实验2中被试被随机分成接纳-接纳组、接纳-排斥组、排斥-接纳组和排斥-排斥组。结果发现,接纳-排斥组比排斥-排斥组被试在反应时上表现出更大的情绪冲突适应效应,而接纳-接纳组和排斥-接纳组被试的情绪冲突适应效应没有显著差异。这两个实验提示,社会排斥会降低个体的情绪冲突适应,而社会接纳可以调节被排斥者的情绪冲突适应。上述发现不仅有助于理解社会排斥与情绪问题之间的关系,而且为干预社会排斥带来的情绪问题风险提供可行性方案。