Generalized Quasi-equilibrium Problems without Open Fibers

In this paper, we first prove some new selection and fixed point theorems in generalized convex spaces. Then, we establish some existence theorems of quasi-equilibrium and generalized quasi-equilibrium without the conditions of open fibers, by applying our selection and fixed point theorems.

SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON PRODUCT FC-SPACES

By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in FC-spaces. By using these equilibrium existence theorems, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure.

QUASI-EQUILIBRIUM PROBLEMS AND CONSTRAINED MULTIOBJECTIVE GAMES IN GENERALIZED CONVEX SPACE

A class of quasi-equilibrium problems and a class of constrained multiobjective games were introduced and studied in generalized convex spaces without linear structure. First, two existence theorems of solutions for quasi-equilibrium problems are proved in noncompact generalized convex spaces. Then, ar applications of the quasi-equilibrium existence theorem, several existence theorems of weighted Nash-equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact generalized convex spaces. These theorems improve, unify, and generalize the corresponding results of the multiobjective games in recent literatures.

MATHEMATICAL PROGRAMS WITH SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM CONSTRAINTS IN FC-SPACES

In this article, four new classes of systems of generalized vector quasi-equilibrium problems are introduced and studied in FC-spaces without convexity structure. The notions of Ci（x）-FC-partially diagonally quasiconvex, Ci（x）-FC-quasiconvex, and Ci（x）-FC- quasiconvex-like for set-valued mappings are also introduced in FC-spaces. By applying these notions and a maximal element theorem, the nonemptyness and compactness of solution sets for four classes of systems of generalized vector quasi-equilibrium problems are proved in noncompact FC-spaces. As applications, some new existence theorems of solutions for mathematical programs with system of generalized vector quasi-equilibrium constraints are obtained in FC-spaces. These results improve and generalize some recent known results in literature.

SYSTEM OF VECTOR QUASI-EQUILIBRIUM PROBLEMS AND ITS APPLICATIONS

A new system of vector quasi-equilibrium problems is introduced and its existence of solution is proved. As applications, some existence results of weak Pareto equilibrium for both constrained multicriteria games and multicriteria games without constrained correspondences are also shown.

GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMSIN LOCALLY G-CONVEX SPACES

Some classes of generalized vector quasi-equilibrium problems ( in short, GVQEP) are introduced and studied in locally G-convex spaces which includes most of generalized vector equilibrium problems; generalized vector variational inequality problems, quasi-equilibrium problems and quasi-variational inequality problems as special cases. First, an equilibrium existence theorem for one person games is proved in locally G-convex spaces.. As applications, some new existence theorems of solutions for the GVQEP are established in noncompact locally G-convex spaces. These results and argument methods are new and completely different from that in recent literature.

PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS

A new class of generalized mixed implicit quasi-equilibrium problems （GMIQEP） with four-functions is introduced and studied. The new class of equilibrium problems includes many known generalized equilibrium problems and generalized mixed implicit quasi-variational inequality problems as many special cases. By employing the auxiliary principle technique, some predictor-corrector iterative algorithms for solving the GMIQEP are suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings

Upper and Lower Semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems

In this paper, two kinds of parametric generalized vector quasi-equilibrium problems are introduced and the relations between them are studied. The upper and lower semicontinuity of their solution sets to parameters are investigated.

A STRONG CONVERGENCE THEOREM FOR QUASI-EQUILIBRIUM PROBLEMS IN BANACH SPACES

In this paper,we study an extragradient algorithm for approximating solutions of quasi-equilibrium problems in Banach spaces.We prove strong convergence of the sequence generated by the extragradient method to a solution of the quasi-equilibrium problem.

一种基于伪谱法的助推-补能跳跃滑翔轨迹优化方法

针对大气层边缘补能-跳跃滑翔运动,建立了一种助推-补能跳跃滑翔全程空间运动模型以及补能滑翔段无量纲运动方程。提出了一种基于Gauss伪谱法的动态分段串行优化策略,可对助推段俯仰程序角、补能-跳跃滑翔段飞行攻角、倾侧角以及补能时刻等轨迹控制变量进行求解,实现含连续/离散控制变量的轨迹优化一体化设计。分别对助推-补能跳跃滑翔和助推-拟平衡滑翔轨迹优化开展仿真,验证了针对补能-跳跃滑翔轨迹的分段串行优化策略的有效性,同时分析了相同助推规模和飞行器质量条件下,补能跳跃轨迹相较拟平衡滑翔轨迹在增大飞行时间、航程和机动过载能力上更具优势。

并网逆变器LVRT同步稳定性分析及其优化策略

针对现有低电压穿越(LVRT)研究难以准确全面评估变流器同步运行能力的问题,首先结合LVRT特性和电网侧特性定量研究不同因素对准静态平衡点的影响,揭示系统准静态平衡点的存在条件。其次,分析LVRT特性对并网逆变器暂态稳定性和小信号稳定性的影响,明晰电网故障期间系统不仅存在暂态失步的风险,而且难以在准静态平衡点稳定运行。基于以上理论分析,提出一种提高并网逆变器LVRT同步运行能力的优化策略。该策略在LVRT期间根据电网运行状态自适应调整锁相环参数,不仅可降低系统暂态失步的风险,还可增强其小信号稳定裕度。最后,通过仿真和实验验证了理论分析的正确性和优化策略的有效性。

System of Generalized Vector Quasi-Equilibrium Problems in Locally FC-Spaces

A new class of locally finite continuous topological spaces （for short, locally FC-spaces） and a class of system of generalized vector quasi-equilibrium problems are introduced. By applying a generalized Himmelberg type fixed point theorem for a set-valued mapping with KKM-property due to the author, a collectively fixed point and an equilibrium existence theorem of generalized game are first proved in locally FC-spaces. By applying our equilibrium existence theorem of generalized game, some new existence theorems of equilibrium points for the system of generalized vector quasi-equilibrium problems are proved in locally FC-spaces. These theorems improve, unify and generalize many known results in the literatures.

Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems with Discontinuous Mappings

Let X, Y be two finite-dimensional topological vector spaces, Z a Hausdorff topological vector space, K C X and D C Z be two nonempty sets, C be a pointed, closed, and convex cone in Y with int C ≠θ Let S ： K → 2^K and T ： K → 2^D be two multivalued mappings, and φ ： K × D × K → Y be a trifunction. In this paper, we consider the generalized vector quasi-equilibrium problem, which is formulated by finding X∈ K and y∈ T（x） such that x∈ E S（x） and φ（x,y, u） （∈/） -int C for all u ∈ S（x）. We establish an existence result in which T is not supposed to have any continuity property. Our results extend and improve the corresponding results of Cubiotti, Yao and Guo.

基于极限平衡法的挡土墙设计理论

本文针对嵌入式挡土墙进行拟静力极限平衡设计,采用Blum法计算动力条件下的内力和临界加速度,讨论该方法的主要缺陷,并基于真正动态二维有限差分分析的结果,提出一种新的极限平衡方法。研究表明:在水平接触应力和弯矩分布方面,拟静力预测法结果与真正的动态二维有限差分分析法获得结果以及相关文献研究结果高度吻合。随着土-墙体系强度增加,土-墙体系的临界加速度和最大弯矩均增大。土-墙系统强度越大,在振动中产生位移越小,但这一目标实现需要增加墙体内力。Blum方法仅为中等地震提供了对墙体最大内力的可靠估计,并且显著低估了临界加速度和相应的最大弯矩。相反,本文所提出的方法与数值数据吻合较好,并始终给出保守估计的最大弯矩值。

Banach空间中可数算子族的不动点集和广义混合均衡问题的公共解的强收敛性

在自反Banach空间框架中,提出一类新的收缩投影算法,来逼近一闭Bregman拟渐近非扩张可数算子族的不动点集和广义混合均衡问题的公共解,建立了一闭Bregman拟渐近非扩张可数算子族的不动点集和广义混合均衡问题的公共解的强收敛性结果,并用一数值例子来支撑文中所得的结果.无论算子族从有限个到可数个,还是算子从Bregman相对非扩张到Bregman拟渐近非扩张等方面,均对Jantakarn K和Kaewcharoen A(2021)的结果进行了的拓展和补充.

WANDERING BRAIDED RIVER CHANNEL PATTERN IN QUASI-EQUILIBRIUM AND ITS FORMATION MECHANISM

It is generally accepted by research workers both in China and abroad at present that wandering braided river channel pattern forms under such conditions that the sediment transportation is not in equilibrium and a strong aggradation occurs. Sometimes a

强夯动荷载作用方向对黄土边坡稳定性的影响分析

为进一步研究强夯对周边黄土边坡稳定性的影响,采用极限平衡圆弧条分法对强夯作用下的边坡安全系数进行推导计算。结合工程实例,使用TC-4850爆破测振仪对现场监测点进行加速度测试。考虑高程差和测点距离的共同影响,采用MATLAB编程对现场数据进行多元回归分析,求出强夯作用下边坡质点振动加速度解析式。在求得最小安全系数的基础上,研究不同强夯动荷载方向对黄土边坡稳定性的影响。研究结果表明:在相同荷载作用下,强夯动荷载方向与水平轴正方向夹角为0°、45°、60°、270°、315°、330°、360°时,安全系数均小于等于1.00,且随着拟静力系数不断增大,安全系数越来越小。强夯动荷载方向与水平轴正方向夹角为90°、135°、150°、180°、225°、240°时,安全系数均大于1.05。随着拟静力系数不断增大,安全系数也随之增大。该方法简单易行,便于计算,可用于黄土边坡实际工程。

随机用户均衡准动态交通分配模型

动态交通分配问题是交通科学研究的热点和难点,将动态交通分配方法应用于大规模网络往往产生过高的计算成本。通过研究准动态交通分配问题,降低动态交通分配中时间的连续性和动态交通分配模型的复杂性。采用路段行程时间计算公式定义一种新的剩余交通需求计算方法;然后考虑剩余交通需求在时段之间的传播过程和出行者对路网的熟悉程度差异,建立基于Logit的随机用户均衡准动态交通分配模型,基于逐次平均法设计模型的求解算法。最后通过Braess网络和九节点网络说明模型的应用情况,并分析模型参数的敏感度,验证模型的合理性与算法的有效性。本研究丰富了交通科学基础理论,为交通政策的制定提供参考依据。

Quasi-equilibrium glide adaptive guidance for hypersonic vehicles

The entry-glide guidance strategy for hypersonic vehicles that can satisfy both terminal and path constraints is investigated in this paper.We propose a quasi-equilibrium glide adaptive guidance methodology based on the quasi-equilibrium glide condition(QEGC),which innovatively utilizes the quasi-equilibrium glide phenomenon in lifting entry.With the aid of QEGC,both range and terminal velocity can be predicted analytically with high precision.The path constraints are converted into angle of attack constraints,which has been difficult to realize by using traditional predictive guidance methods.The algorithm is independent of the standard trajectory.All the guidance commands,including the bank angle and the angle of attack,are calculated analytically in real time,which endows the algorithm with sufficient adapbility.The results of a CAV-H vehicle guidance test show that the algorithm leads the vehicle along a quasi-equilibrium glide trajectory satisfying both the terminal and path constraints and has sufficient flexibility for occasional mission changes.Furthermore,the robustness of the guidance algorithm under disturbances is validated through a Monte Carlo simulation.

基于准滑动模态的动态非平衡身管高精度俯仰控制

非平衡身管俯仰系统属于典型的电液伺服系统,在路面波动条件下实现其高精度位置控制,可有效提升身管武器的远程精准打击能力。为此,分析非平衡身管俯仰工作原理及路面波动影响机制,建立各组件的数学模型并联立得到系统状态空间模型;基于准滑动模态,设计改进饱和函数的双幂次趋进律滑模控制器;最后,搭建路面波动条件下非平衡身管俯仰滑模控制仿真模型,进行仿真分析并与指数趋进律、双幂次趋进律滑模控制器的控制效果对比,验证所提方法的可行性和有效性。结果表明:所提方法具有跟踪精度高、响应时间短、抖振抑制效果好且所需能量少等优势,可满足动态非平衡身管高精度控制的需求。