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There was no consistent distribution of this asymmetry between the convex and the concave sides of the curve.

AIS患者的这种椎弓根不对称在侧凸凸侧和凹侧之间没有一致的分布。

If the topology is fixed and time-invariant, the consensus value of discrete-time systems also globally asymptotically converges to the convex combination of initial states, which is identical to continuous systems.

如果多智能体网络系统的拓扑结构没有改变,在离散状态下系统的一致平衡点仍收敛于初始状态的凸组合,并且离散状态下系统的一致平衡点与连续状态下系统的一致平衡点相等。

Li 101 proved the nonlinear ergodic theorem for semitopological semigroups of Lipschitzian mappings in the uniformly convex Banach space with the Frechet differentiable norm without using the concept of invariant mean and submean. In Chapter 1, we extend the results in [23 [24] to the case of almost-orbit.

Li[10]避开了不变平均及不变子平均的概念,在具Frechet可微范数的一致凸Banach空间中,给出了一般拓扑半群上渐近非扩张半群的遍历压缩定理。

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题,作为可分函数的推广,第五章引入了一致同阶集值函数类,在没有凸性条件的假设下,对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理;利用H-KKM映射,对一般向量均衡问题建立了(来源:A73BcbC论文网www.abclunwen.com)几个存在性定理;最后讨论了集值向量均衡问题系统,利用集值映射的拟凸性,在较弱的条件下证明了解的存在性。

This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for set-valued nonexpansive mapping in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.

讨论了δ集值非扩张映象在一致凸Banach空间中不动点非空的充分必要条件与Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是单值非扩张映象的推广和发展。

The objective of Chapter 2 is to give the weak convergence theorem of S ={T1 :t E G of asymptotically nonexpansive mappings in a uniformly convex Banach space without assuming that X has a Frechet differentiable norm.

本文第二章在G仅要求是一个定向网,X为不具有范数Frechet可微条件的一致凸Banach空间的情况下,给出了一族渐近非扩张映射的弱收敛定理。

The resuets showed that the head loss arising from the convexes was much less than that arising from the concaves, while their sizes and orientations were the same.

结果表明,无论是长方体还是半球体,外凸体产生的水头损失系数都小于大小相等、方向一致的内凸体水头损失系数。

In the fourth part, we study the growth velocity of q-mean square function of trigonometric martingales, using these we characterize TP q-uniformly convex of the space.

第四部分研究了q均方函数的增长速度与q一致TP可凸性的关系,从而用它们刻划了Banach空间的q一致TP可凸性。

In the third part,we study the growth velocity of q-mean square function of martingales , using these we characterize q-uniformly TC convex Banach space.

第三部分研究了q均方函数的增长速度与q一致TC可凸性的关系,从而用它们刻划了Banach空间的q一致TC可凸性。

In the second part, we give the relationships between some inequalities of trigonometric martingales with values in Banach space and TP uniform convexity of the space. So we characterize the TP q-uniformly convex of the Banach space by inequalities of trigonometric martingales with values in Banach space.

第二部分研究了取值于Banach空间的一类特殊而义具体的鞅-—三角鞅,三角鞅不等式与该空间的q一致TP凸性的关系,从而用三角鞅不等式刻划了空间的q一致TP可凸性。

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