共查询到20条相似文献,搜索用时 31 毫秒
1.
Jinghua YANG 《数学年刊B辑(英文版)》2019,40(2):227-236
In this paper, the author gives the discrete criteria and J\o
rgensen inequalities of subgroups for the special linear group on
$\overline{\mathrm{F}}((t))$ in two and higher dimensions. 相似文献
2.
E. Allevi A. Gnudi I. V. Konnov S. Schaible 《Mathematical Methods of Operations Research》2007,65(2):293-303
New concepts of relative monotonicity were introduced in Konnov (Oper Res Lett 28:21–26, 2001a) which extend the usual ones.
These concepts enable us to establish new existence and uniqueness results for variational inequality problems over product
sets. This paper presents first-order characterizations of new (generalized) monotonicity concepts. Specialized results are
obtained for the affine case.
相似文献
3.
José F. Alves Ví tor Araú jo Benoî t Saussol 《Proceedings of the American Mathematical Society》2003,131(4):1303-1309
We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding. We also present a version of this result for diffeomorphisms with nonuniformly hyperbolic sets.
4.
S. Karamardian S. Schaible J. P. Crouzeix 《Journal of Optimization Theory and Applications》1993,76(3):399-413
This paper is a sequel to Ref. 1 in which several kinds of generalized monotonicity were introduced for maps. They were related to generalized convexity properties of functions in the case of gradient maps. In the present paper, we derive first-order characterizations of generalized monotone maps based on a geometrical analysis of generalized monotonicity. These conditions are both necessary and sufficient for generalized monotonicity. Specialized results are obtained for the affine case. 相似文献
5.
C.E. Chidume 《Journal of Mathematical Analysis and Applications》2003,282(2):756-765
Let E be a real uniformly smooth Banach space. Let A:D(A)=E→2E be an accretive operator that satisfies the range condition and A−1(0)≠∅. Let {λn} and {θn} be two real sequences satisfying appropriate conditions, and for z∈E arbitrary, let the sequence {xn} be generated from arbitrary x0∈E by xn+1=xn−λn(un+θn(xn−z)), un∈Axn, n?0. Assume that {un} is bounded. It is proved that {xn} converges strongly to some x∗∈A−1(0). Furthermore, if K is a nonempty closed convex subset of E and T:K→K is a bounded continuous pseudocontractive map with F(T):={Tx=x}≠∅, it is proved that for arbitrary z∈K, the sequence {xn} generated from x0∈K by xn+1=xn−λn((I−T)xn+θn(xn−z)), n?0, where {λn} and {θn} are real sequences satisfying appropriate conditions, converges strongly to a fixed point of T. 相似文献
6.
We consider quasisymmetric reparametrizations of the parameter space of the quadratic family. We prove that the set of quadratic maps which are either regular or Collet-Eckmann with polynomial recurrence of the critical orbit has full Lebesgue measure, for any such reparametrization. 相似文献
7.
A. Hassouni A. Lahlou A. Lamghari 《Journal of Optimization Theory and Applications》2005,126(2):225-246
In this paper, we establish some existence results for linear complementarity problems on closed convex cones under generalized monotonicity assumptionsThe authors are grateful to the referees for detailed comments and suggestions on an early version of the paper 相似文献
8.
SPECTRUM-PRESERVING ELEMENTARY OPERATORS ON B(X) 总被引:4,自引:0,他引:4
Hou Jinchuan 《数学年刊B辑(英文版)》1998,19(4):511-516
1.IntroductionLetXbeaninfinitedimensionalcomplexBanachspaceandB(X)theBanachalgebraofallboundedlinearoperatorsonX.ForTEB(X),a(T),asusual,willdenotethespectrumofT.Let4bealinearmapfromB(X)intoitself.4isspectrum-preservingifa(di(T))=a(T)forallTEB(X);4isspectrum-compressingifa(4(T))ga(T)forallTEB(X).Itisclearthatif4isunital(i.e.,ac(I)=I),thenacisspectrum-preserving(spectrum-compressing)ifandonlyif4preservesinvertibilityinbothdirections(preservesinvertibility),i.e.,4(T)isinvertibleifando… 相似文献
9.
10.
本文证明了 Ky Fan定理[1]对定义在 Banach空间中含有内点的有界闭凸子集上的1-集-压缩映象正确.1-集-压缩映象类包含凝聚映象、非扩张映象、半压缩映象、局部几乎非扩张映象和其它映象.作为定理的应用,得到了一些非自映象在许多众知边界条件下的不动点定理,改进和推广了许多作者的最近结果. 相似文献
11.
Douglas R. Farenick 《Proceedings of the American Mathematical Society》1996,124(11):3381-3390
Motivated by the classical results of G. Frobenius and O. Perron on the spectral theory of square matrices with nonnegative real entries, D. Evans and R. Høegh-Krohn have studied the spectra of positive linear maps on general (noncommutative) matrix algebras. The notion of irreducibility for positive maps is required for the Frobenius theory of positive maps. In the present article, irreducible positive linear maps on von Neumann algebras are explicitly constructed, and a criterion for the irreducibility of decomposable positive maps on full matrix algebras is given.
12.
Li Shan Liu 《数学学报(英文版)》2001,17(1):103-112
In this paper, we will prove that Ky Fan's Theorem (Math. Z. 112(1969), 234–240) is true for 1-set-contractive maps defined
on a bounded closed convex subset K in a Banach space with intK≠0. This class of 1-set-contractive maps includes condensing maps, nonexpansive maps, semicontractive maps, LANE maps and
others. As applications of our theorems, some fixed point theorems of non-selfmaps are proved under various well-known boundary
conditions. Our results are generalizations and improvements of the recent results obtained by many authors.
Project supported by the National Natural Science Foundation of China and Natural Science Foundation of
Shandong Province of China 相似文献
13.
Jouni PARKKONEN Vesa RUUSKA 《数学学报(英文版)》2007,23(1):89-94
A conjecture of Ehrenpreis states that any two compact Riemann surfaces of genus at least two have finite degree unbranched holomorphic covers that are arbitrarily close to each other in moduli space. Here we prove a weaker result where certain branched covers associated with arithmetic Riemann surfaces are allowed, and investigate the connection of our result with the original conjecture. 相似文献
14.
By applying the theory of quasiconformal maps in measure metric spaces that was introduced by Heinonen-Koskela, we characterize
bi-Lipschitz maps by modulus inequalities of rings and maximal, minimal derivatives in Q-regular Loewner spaces. Meanwhile the sufficient and necessary conditions for quasiconformal maps to become bi-Lipschitz
maps are also obtained. These results generalize Rohde’s theorem in ℝ
n
and improve Balogh’s corresponding results in Carnot groups.
This research is supported by China NSF (Grant No. 10271077) 相似文献
15.
C. M. Wood 《Annals of Global Analysis and Geometry》2008,34(2):101-113
We discuss Morse inequalities for homotopic critical maps of the energy functional with a potential term. For a generic potential
this gives a lower bound on the number of homotopic critical maps in terms of the Betti numbers of the moduli space of harmonic
maps. Other applications include sharp existence results for maps with prescribed tension field and pseudo-harmonic maps.
Our hypotheses are that the domain and target manifolds are closed and the latter has non-positive sectional curvature.
相似文献
16.
We show that finitely differentiable diffeomorphisms which are either symplectic, volume-preserving, or contact can be approximated with analytic diffeomorphisms that are, respectively, symplectic, volume-preserving or contact. We prove that the approximating functions are uniformly bounded on some complex domains and that the rate of convergence, in Cr-norms, of the approximation can be estimated in terms of the size of such complex domains and the order of differentiability of the approximated function. As an application to this result, we give a proof of the existence, the local uniqueness and the bootstrap of regularity of KAM tori for finitely differentiable symplectic maps. The symplectic maps considered here are not assumed either to be written in action-angle variables or to be perturbations of integrable systems. Our main assumption is the existence of a finitely differentiable parameterization of a maximal dimensional torus that satisfies a non-degeneracy condition and that is approximately invariant. The symplectic, volume-preserving and contact forms are assumed to be analytic. 相似文献
17.
Two embeddings of a graph in a surface S are said to be “equivalent” if they are identical under an homeomorphism of S that is orientation‐preserving for orientable S. Two graphs cellularly embedded simultaneously in S are said to be “jointly embedded” if the only points of intersection involve an edge of one graph transversally crossing an edge of the other. The problem is to find equivalent embeddings of the two graphs that minimize the number of these edge‐crossings; this minimum we call the “joint crossing number” of the two graphs. In this paper, we calculate the exact value for the joint crossing number for two graphs simultaneously embedded in the projective plane. Furthermore, we give upper and lower bounds when the surface is the torus, which in many cases give an exact answer. In particular, we give a construction for re‐embedding (equivalently) the graphs in the torus so that the number of crossings is best possible up to a constant factor. Finally, we show that if one of the embeddings is replaced by its “mirror image,” then the joint crossing number can decrease, but not by more than 6.066%. © 2001 John Wiley & Sons, Inc. J Graph Theory 36: 198–216, 2001 相似文献
18.
Peter Wong 《Topology and its Applications》2001,110(3):185-209
In this paper, we introduce a Nielsen type number
for any selfmap f of a partially ordered set
of spaces. This Nielsen theory relates to various existing Nielsen type fixed point theories for different settings such as maps of pairs of spaces, maps of triads, fibre preserving maps, equivariant maps and iterates of maps, by exploring their underlying poset structures. 相似文献
19.
Frédéric Mynard 《Topology and its Applications》2007,154(4):953-968
Two results on product of compact filters are shown to be the common principle behind a surprisingly large number of theorems. 相似文献
20.
P. H. Sach D. S. Kim L. A. Tuan G. M. Lee 《Journal of Optimization Theory and Applications》2008,136(1):105-123
In this paper, we introduce new dual problems of generalized vector variational inequality problems with set-valued maps and
we discuss a link between the solution sets of the primal and dual problems. The notion of solutions in each of these problems
is introduced via the concepts of efficiency, weak efficiency or Benson proper efficiency in vector optimization. We provide
also examples showing that some earlier duality results for vector variational inequality may not be true.
This work was supported by the Brain Korea 21 Project in 2006. 相似文献