Closedness and Semicontinuity of Cone Efficient Solution Sets for Multiobjective Programming under Two Perturbations
双扰动多目标规划锥有效解集的闭性和半连续性
The paper studies the closedness, semicontinuity and cone semicontinuity of cone efficient point sets and cone weakly efficient point sets of the perturbed attainable objective sets when both the objective maps and constraint maps are continuous and the constraint cone is semicontinuous in topological vector spaces.
本文研究拓扑向量空间中目标映射和约束映射均为连续,约束映射的约束锥为半连续的条件下,受扰动可达目标集的锥有效点集和锥弱有效点集的闭性、半连续性和锥半连续性。
In terms of the method of scalar assignment,the partly upper semicontinuity of cone efficient solution in infinite dimensional normed spaces is investigated by using the upper semicontinuity of cone positive proper efficient solution,and the generic stability of cone efficient solution is proved.
运用标量化的方法,通过锥正定真有效解的上半连续性讨论了无限维赋范空间中锥有效解的部分上半连续性,证明了锥有效解的通有稳定性。
In the paper,using the method of scalar assignment,we study upper semicontinuity of the general additive solution in infinite dimensional normed spaces by substitute the bounded linear functional in the infinite dimensional vector space for weight in common sense.
作者运用标量化的方法,利用无限维赋范空间中的有界线性泛函代替通常意义下的权重,讨论了无限维赋范空间中广义加权解的上半连续性。
After that,in the Hausdorff topological vector space,the sufficient conditions for the upper semicontinuity of the solution set mapping for the parametric set-valued strong vector equilibrium problems are established.
而后在Hausdorff拓扑向量空间中给出了参数集值强向量均衡问题解映射的上半连续性的充分条件,最后,在赋范线性空间中给出了参数集值强向量均衡问题解映射的下半连续性的充分条件。
The purpose of this paper is to study the upper semi-continuity on their solutions of optimisation problems on the cone.
运用通有的方法,研究了在锥变化和挠动的意义下向量优化问题解的上半连续性。
The upper semi-continuity of the global attractor A_αon parameter a for a semilinear hyper- bolic equation in viscoelasticity is discussed by applying some new results.
利用一些最新结果,讨论了带黏弹性的半线性双曲型方程全局吸引子的上半连续性。
For the upper semi-continuous set value maps,the existence of attractors under some conditions and the upper semi-continuity of attractors under the perturbation were proved.
考虑集值映射的动力学,证明了对于上半连续的集值映射在一定条件下吸引子的存在性及吸引子在扰动下的上半连续性,进一步考虑集值映射在微分方程数值模拟中的应用。
In this paper,we obtain a lower semicontinuity result with respect to the strong L~1-convergence of the following integral functionals defined in all the space BD(Ω)of func- tions with bounded deformation, where ||A||_*:=■sup|(Aξ,ξ)| is the maximum eigenvalue of any A∈M_(sym)~(N×N).
本文研究定义在有界变差函数空间BD(Ω)上如下形式的积分泛函,得到了这个积分泛函关于L~1强收敛的下半连续性结果。
Then, by introducing a parametric gap function and a constraint qualification, we obtain the Hausdorff lower semicontinuity of the solution set map.
然后,通过引入了一种带有参变数的间隙函数和约束品性,得到了扰动广义向量平衡问题解集映射的Hausdorff下半连续性。
The Description of C-Semi-Continuity of Set-Valued Mappings under the Condition of New Compactness;
在新的紧性条件下刻划集值映射的C-半连续性
Semi-continuity and E-quasiconvexity of Functions on E-convex Set
E-凸集上的函数的半连续性与E-拟凸性
Strong Lower Semi-continuity of Perturbations Efficient Solution for Multi-objective Optimization Problem
多目标最优化问题扰动有效解的强下半连续性
Up Semi-continuous of the Ideal Solutions of Vector Optimization Problems with Set-valued Maps
集值映射向量优化问题理想解的上半连续性
Closedness and Semicontinuity of Cone Efficient Solution Sets for Multiobjective Programming under Two Perturbations
双扰动多目标规划锥有效解集的闭性和半连续性
semi-continuous activated sludge test
半连续活性污泥试验
Production of Lactic Acid by Rhizopus oryzae with Repeated Intermittent Fermentation and Activities of Key Dehydrogenases
米根霉半连续发酵产乳酸关键酶活性
Displacement Discontinuity Fundamental Solutions for a Layered Elastic Half-plane
弹性层状半平面的位移不连续基本解
The Properties of Bi-Continuous Local C-Semigroups and Its Generator
双连续局部C-半群及其生成元的性质
A sequential linearization method for a class of nonlinear semidefinite programming;
一类非线性半定规划问题的连续线性化方法
The Stability of Solutions to Semi-linear Heat Conduction Equation in Higher Dimension;
关于高维半线性热传导方程解的连续依赖性
On Persistence of Norm Continuity of Semgroups under Lipschitz Perturbations
C_0半群在非线性Lipschitz扰动下的范数连续性保持
A Linear Perturbed Palais-Smale Condition for Lower Semicontinuous Functions on Banach Spaces;
Banach空间上下半连续函数的线性扰动P-S条件
Continuous Space-Time Finite Element Method for Semilinear Singular Parabolic Equation;
半线性奇异抛物方程的连续时空有限元方法
Application of Strongly Continuous Semigroup of Linear Operators in the Equations of Parabolic Type
强连续线性算子半群在抛物型方程中的应用
On Some Questions of Semicontinuous Lattices and Strongly Continuous Lattices;
半连续格和强连续格若干问题的研究
Several Necessary and Sufficient Conditions of the Demicontinuity and the Continuity of the Real Valued Function;
实函数半连续、连续的某些充要条件
semicontinuous vacuum resistance furnace
半连续式真空电阻炉