序理论 meaning in English
order theory
Examples
- A new set - valued caristi ' s fixed point theorem , as well as its detail proof , is presented by using partial order theory , which generalized some related results . the theory of monotone dynamical systems has given rise to great attention
我们给出了一种新的caristi不动点定理，并使用偏序理论对这个不动点定理进行了详细的证明，所得结果推广了文献中的相关结论。 - Based on this introduction , this paper presents us the theory about convertible bond financing . in chapter one , this paper also presents us the theory on market efficiency of our country these days . in chapter two , this paper set forth the character and nature of convertible bond
本文从融资理论入手，先后介绍了mm理论、信号理论、优序理论和控制理论，并在此基础上对可转换债券融资的有关理论作了介绍。 - By using the cone and partial ordering theory without regarding compactness conditions , it is studied the existence uniqueness of the solutions of some single operator equations , the results presented here improve and generalize some corresponding results for increasing operator equations
摘要利用锥与半序理论无需考虑紧性条件，研究了几类一元算子方程解的存在唯一性，所得结果改进和推广了增算子方程的某些已知相应结果。 - The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces . the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space , which also answers the open problem mentioned above , is studied on finite dimensional euclidean spaces . the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space
?引入了集值映射的-预解算子概念；借助于偏序理论证明了有限维欧氏空间中的单值映射可同秩lipschitz连续拓展；讨论了有限维欧氏空间中的极大-单调集值映射的-预解算子在什么条件下是整个空间上的一个lipschitz连续的单值映射，这一结果也在有限维空间上解决了上面提到的公开问题；还讨论了真泛函的-次微分映射的-预解算子在什么条件下是整个空间上的一个lipsehitz连续的单值映射。 - Therefore , the research for them has important learning value and certain degree of difficulty . just as weakening convexity of objective functions being a central issue in optimization problems , weakening monotonicity of set - valued mappings is an important research direction in set - valued variational inclusion problems
对这一问题的研究涉及到凸分析、线性与非线性分析、非光滑分析、集值分析、偏序理论、图收敛理论等数学分支，有重要的学术价值和相当的难度。