查询词典 monotone function

Normal cone ; Mixed monotone operator ; a-concave operator ;-a-convex operator ; Fixed point

正规锥；混合单调算子；α-凹算子；-α-凸算子；不动点

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

By using the cone and partial ordering theory, it is studied that fixed point theorems non-monotone in Banach spaces, some new coupled fixed point theorems are abtained.

利用锥与半序理论，研究Banach空间不具有单调性的一类二元算子的不动点，得出了新的耦合不动点定理，是某些已有结果的改进和推广。

In this paper, we mainly apply theory of ordering in nonlinear functional analysis, cone theory, topological degree theory, cone expansion and compression theory, and the method of upper and lower solutions, partial ordering method, iterative method to study some nonlinear differential equations BVP and fixed points problems of mixed monotone operators, and obtain some new results.

中文摘要：在本文中，我们主要应用非线性泛函分析中的半序理论，锥理论，Leray-Schduder拓扑度理论，锥拉伸与锥压缩不动点理论，以及上下解方法，半序方法，迭代方法对一些非线性微分方程边值问题和混合单调算子的不动点问题进行讨论，并得到了一些新成果。

New results in the perturbation theory of maximal monotone and m-accretive operators in Banach spaces.

所以本文的结果改进和推广了文献［3］和文献［4］中的相应结论。

Use of monotone color to a fixed quadrilateral painted a color.

使用单调着色给四边形涂上固定的一种颜色。

There's nothing more you can learn from pain, but here it comes again—with its monotone, its idiot drone, like a brick wall against which thinking smacks its big skull until it's juiceless fruit the devil reams clean with red teeth and razor-blade tongue.

你已经痛苦至极但它又来了——伴随着单调声响，和愚蠢的嗡营，像一堵砖墙靠着它，思想击打自己硕大头骨直至自己无汁的果实被魔鬼用红牙齿和剃刀片的舌头榨光。

By using the resolvent operator technique associated with relaxed-monotone operators, we construct a new iterative algorithm for solving the system of generalized mixed quasi-variational-like inclusions. We also prove the existence of solutions and the convergence of iterative sequences generated the iterative algorithm.

利用松弛－-单调算子的豫解算子技巧，给出了求解这类广义混合拟似变分包含组的迭代算法，并证明了由迭代算法生成的迭代序列强收敛于该变分包含组的精确解。

Based on the generalized-graph-convergence theory, by using the resolvent operator technique about-monotone mappings, we suggest a new perturbed iterative algorithm to compute approximate solutions of this class of variational inequality.

依据广义图像收敛理论，并应用关于h，η-单调算子的预解算子技巧，作者提出了一种新的扰动迭代算法来解这类变分不等式。

In statistical analysis of ordinal data, we usually build up linear-by-linear association model and meet a trouble of choice of scores. Graubards et a1 (1987) proposed several methods for score choice in independence test in ordinal 2×κ contingency tables: equally spaced scores, midpoint scores and midrank scores. He also pointed out that the result of independence test may be different for the different choice of scores according to the same association model. Agresti et a1 (1987) treated the score vector in row effects and column effects model for two-way contingency tables as parameters and derived the necessary and sufficient condition of the solution under monotone order restriction by Kuhn- Tucker conditions.

在有序数据的统计分析中，通常要建立线线相关模型，其中得分的选取是一个棘手的问题，Graubard et a1（1987）给出了有序2×κ列联表中独立性检验的几种得分选取方法：等距离得分，中点得分和midrank得分等，同时指出，对于同一个相关模型，独立性的检验会由于得分选取的不同而得到不同的结论，Agresti et al（1987）把二维列联表中的行效应和列效应模型中的得分向量作为参数，在满足递增的序关系情况下，利用Kuhn-Tucker条件给出了解的充要条件。

His female bullfighter Lydia gradually Health love, but she was in a vegetative state after the Bulls Zhuangcheng away from her, just because Lydia's ex-boyfriend showed more affectionate than he is like love.

他对女斗牛士莉迪亚渐生爱意，却在她被公牛撞成植物人后离她而去，仅仅因为莉迪亚的前男友表现出好似比他更深情的爱。

I know of none which are not easy to answer, but what I am trying to do now is only by a series of hints to throw some light on the narrow path of legal doctrine, and upon two pitfalls which, as it seems to me, lie perilously near to it.

我不认为有什么难以回答的问题，但我现在要做的仅仅是通过一系列线索，来给法律理论的狭窄路径以及在我看来离它近得危险的两个陷阱提供一些启示。