Specially, when the subgradient of objective function is strongly monotone or the interior of the optimal solution set is not empty, we obtain the convergence of the trajectory with respect to the strong topology.
同时给出了网络的一些收敛性结论,特别地,在目标函数的次微分满足强单调条件或优化问题优化解集内部非空的情况下,得到网络的轨道在强拓扑意义下收敛于该优化问题的一个优化解。
参考来源 - 微分方程与微分包含的神经优化理论与算法研究·2,447,543篇论文数据，部分数据来源于NoteExpress
本文提出了随机强制算子与随机强单调算子的新概念。
In this paper, new concepts of random forced operator and random powerful monotonous operator are introduced.
本文研究了系数为强单调算子的椭圆型偏微分方程，得到了解的梯度的几乎处处收敛性。
In this paper, we study the elliptic partial differential Cquation whose coefficients are strongly monotony operators, and obtain the everywhere convergence of the gradients of solutions.
在第一章中，我们主要利用强单调映象原理和临界点理论对一类非线性四阶两点边值问题进行了讨论。
In chapter I, we mainly use the strongly monotone operator principle and the critical point theory to discuss a kind of fourth-order two-point boundary value problem.
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