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In Section 1, without assuming operators to be continuous and cones to be normal, we use the Monchs compactness condition to study the existence and iterative approximation theorem of solutions and coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations x = Ax, x under more extensive and weaker conditions than those used in [18] in ordered Banach spaces.

践一节中,利用M加ch的紧性条件,在比文献[18]更广泛的较弱的条件下,在不假潞子连续和拄酬的前提下,研究了Ball''crl空间中一描F线腑子方程X—川巳F)的解和最小最大耦合解的存在与迭代跳定理,并应用到Ban呐空间中非线性VOlterra型积分方程和常徽分方程的初值问题。

At first, we establish some new KKM type theorems involving admissible set-valued mappings and the set-valued mapping with compactly local intersection property in FC-spaces. As applications, some new coincidence theorems and fixed point theorems are proved in FC-spaces.

首先,在FC-空间中得到了涉及容许类集值映射和具有紧局部交性质的更为一般的KKM 型定理,作为应用,在FC-空间中证明了一些新的重合点定理和不动点定理。

In this paper, the difference of compact operator on p-Bloch space and little p-Bloch space of polydisc will be considered, and we will give a sufficient condition for the compactness of the difference of compact operator, and then prove it.

本文主要研究了多圆柱上p-Bloch空间之间及小p-Bloch空间之间的复合算子的差分形式,给出了它有界性和紧性的一个充分条件。

An sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps is shown to characterize the collective compactness of composition operator sequence.

我们用诱导映射的Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列为总体紧算子序列的一个充分必要条件。

Let X be a Banach space and ψ an analytic self-map of D. We characterize the weak compactness of the composition operator C〓 on the vectorvalued Nevanlinna classes N and N〓.

给出了向量值解析函数空间N与N〓上的复合算子C〓的弱紧性的刻画,这里X是一个Banach空间。

The base part is curved concavely so as to form a space between the base part and the bead core, and an anchor rubber having a complex elastic modulus of from 20 to 80 MPa is disposed in the space to tightly pinch the carcass cords between the anchor rubber and the bead seat of the wheel rim.

所述基部凹曲以形成一个介于所述基部和胎圈芯之间的空间;且一复合弹性模量为20到80MPa的锚固橡胶设置在所述空间中,从而箍紧锚固橡胶和轮辋的胎圈座之间的胎体帘线。

Let X be a Banach space, be a locally convex linear topological space, C is a τ-sequence compact convex subset of X, and S an asymptotically nonexpansive type semigroups from C onto itself.

X是一Banach空间,是局部凸线性拓扑空间,C是X上的τ-序列紧凸集,S是C上的Γ类渐近非扩张型半群。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年,忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形,并给出了若干重要的应用[47]。1997年,K。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年,忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形,并给出了若干重要的应用[47]。1997年,K。

Inspired by these results, in this paper, we first give the definition of a new mapping ? uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space, then construct three-step iterative sequences of uniformly Lipschitz asymptotically nonexpansive mapping in this subset . We proved the convergence of this three-step iterative sequences for uniformly Lipschitz asymptoticallynonexpansive mapping, Further more, we proved this three-step iterative sequences with an error member converge to fixed points.

从中得到启发,在本文我们首先定义了一致凸Banach空间某非空紧子集上的一种新的映射——一致李普希兹渐进非扩张映射,在该紧子集上构造关于一致李普希兹渐进非扩张映射的三步迭代序列以及具误差的三步迭代序列,先来讨论三步迭代序列的收敛性,进而讨论具误差的三步迭代序列的收敛性。

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