共查询到20条相似文献,搜索用时 15 毫秒
1.
Jin Han Park Jong Seo Park Young Chel Kwun 《Fuzzy Optimization and Decision Making》2008,7(4):305-315
In this paper, we give some common fixed point theorems for five mappings satisfying some conditions in -fuzzy metric spaces. 相似文献
2.
In this paper, motivated by a result due to Champion [Math. Program.99, 2004], we introduce a property for a conic quasi-convex vector-valued function in a general normed space. We prove that this property characterizes the zero duality gap for a class of the conic convex constrained optimization problem in the sense that if
this property is satisfied and the objective function f is continuous at some feasible point, then the duality gap is zero, and if this property is not satisfied, then there exists
a linear continuous function f such that the duality gap is positive. We also present some sufficient conditions for the property
The work of this author was partially supported by the National Natural Sciences Grant (No. 10671050) and the Excellent Young
Teachers Program of MOE, P.R.C. 相似文献
3.
In this paper, we propose a modification of Benson’s algorithm for solving multiobjective linear programmes in objective space
in order to approximate the true nondominated set. We first summarize Benson’s original algorithm and propose some small changes
to improve computational performance. We then introduce our approximation version of the algorithm, which computes an inner
and an outer approximation of the nondominated set. We prove that the inner approximation provides a set of -nondominated points. This work is motivated by an application, the beam intensity optimization problem of radiotherapy treatment
planning. This problem can be formulated as a multiobjective linear programme with three objectives. The constraint matrix
of the problem relies on the calculation of dose deposited in tissue. Since this calculation is always imprecise solving the
MOLP exactly is not necessary in practice. With our algorithm we solve the problem approximately within a specified accuracy
in objective space. We present results on four clinical cancer cases that clearly illustrate the advantages of our method. 相似文献
4.
Let be a saturated formation. We describe minimal non- -, minimal non- -, and minimal non-metabelian groups.
Dedicated to L. A. Shemetkov on the occasion of his seventieth birthday. 相似文献
5.
Nic Koban 《Geometriae Dedicata》2007,124(1):133-141
We compute the geometric invariants of a product G × H of groups in terms of and . This gives a sufficient condition in terms of and for a normal subgroup of G × H with abelian quotient to be of type F
n
. We give an example involving the direct product of the Baumslag–Solitar group BS1,2 with itself.
相似文献
6.
In this paper, we introduce the notion of -decomposability of probability density functions in one dimension. Using -decomposability, we derive an inequality that applies to all symmetric unimodal densities. Our inequality involves only
the standard deviation of the densities concerned. The concept of -decomposability can be used as a non-parametric criterion for mode-finding and cluster analysis. 相似文献
7.
Simeon Zamkovoy 《Annals of Global Analysis and Geometry》2009,36(1):37-60
The canonical paracontact connection is defined and it is shown that its torsion is the obstruction the paracontact manifold
to be paraSasakian. A -homothetic transformation is determined as a special gauge transformation. The η-Einstein manifold are defined, it is proved
that their scalar curvature is a constant, and it is shown that in the paraSasakian case these spaces can be obtained from
Einstein paraSasakian manifolds with -homothetic transformations. It is shown that an almost paracontact structure admits a connection with totally skew-symmetric
torsion if and only if the Nijenhuis tensor of the paracontact structure is skew-symmetric and the defining vector field is
Killing.
相似文献
8.
With every subset selection for posets, there is associated a certain ideal completion . As shown by Erné, such completions help to extend classical results on domains and similar structures in the absence of
the required joins. Some results about –predistributive or –precontinuous posets and –continuous functions are summarized and supplemented. In particular, several central results on function spaces in domain
theory are extended to the setting of productive closed subset selections. The category FSBP, in which objects are finitely separated and upper bounded posets and arrows are continuous functions between them, is shown to be cartesian closed.
This research is supported by the National Natural Science Foundation of China, 10471035. 相似文献
9.
By introducing a random interference into the typical of nonlinear time series model, this paper establishes a RENLAR model:
. The author introduces the definition of adjoint non-recurrence, and utilizing general state space Markov chain theorem,
we obtain some criteria for non-recurrence and adjoint non-recurrence of nonlinear time series models in random environment
domain and analyze adjoint non-recurrence of some models by using these criteria.
Research supported Science Foundation of China (10171009). 相似文献
10.
Ian Chiswell Thomas W. Müller Jan-Christoph Schlage-Puchta 《Archiv der Mathematik》2008,91(4):372-378
We establish (geometric) criteria for an -tree to be compact and to be locally compact. It follows that locally compact -trees are separable.
Received: 10 September 2007 相似文献
11.
The problem is considered of matching two sets of points in , by translation and rotation. There are many applications, for example in geodesy, computer vision and in the assessment
of manufactured parts. When the matching criterion is least squares, there is a well known solution process based on the singular
value decomposition of an matrix. Here we consider the use of the norm, which may be more appropriate than least squares in the context of wild points in the data. An algorithm is developed,
and is illustrated by some examples for the case . 相似文献
12.
Ameer Athavale 《Complex Analysis and Operator Theory》2008,2(3):417-428
Let be a strictly pseudoconvex bounded domain in with C
2 boundary . If a subnormal m-tuple T of Hilbert space operators has the spectral measure of its minimal normal extension N supported on , then T is referred to as a -isometry. Using some non-trivial approximation theorems in the theory of several complex variables, we establish a commutant
lifting theorem for those -isometries whose (joint) Taylor spectra are contained in a special superdomain Ω of . Further, we provide a function-theoretic characterization of those subnormal tuples whose Taylor spectra are contained in
Ω and that are quasisimilar to a certain (fixed) -isometry T (of which the multiplication tuple on the Hardy space of the unit ball in is a rather special example).
Submitted: September 9, 2007. Revised: October 10, 2007. Accepted: October 24, 2007. 相似文献
13.
The Segre variety in PG(5, 2) is a 21-set of points which is shown to have a cubic equation Q(x) = 0. If T(x, y, z) denotes the alternating trilinear form obtained by completely polarizing the cubic polynomial Q, then the associate
U
# of an r-flat is defined to be
and so is an s-flat for some s. Those lines L of PG(5, 2) which are singular, satisfying that is L
# = PG(5.2), are shown to form a complete spread of 21 lines. For each r-flat its associate U
# is determined. Examples are given of four kinds of planes P which are self-associate, P
# = P, and three kinds of planes for which P, P
#, P
## are disjoint planes such that P
### = P.
相似文献
14.
In this work we present a survey of the main results in the theory of Weierstrass semigroups at several points, with special
attention to the determination of bounds for the cardinality of its set of gaps. We also review results on applications to
the theory of error correcting codes. We then recall a generalization of the concept of Weierstrass semigroup, which is the
Weierstrass set associated to a linear system and several points. We finish by presenting new results on this Weierstrass
set, including some on the cardinality of its set of gaps.
相似文献
15.
Thomas Krainer 《Annals of Global Analysis and Geometry》2009,35(4):345-361
Let A be an elliptic operator on a compact manifold with boundary , and let be a covering map, where Y is a closed manifold. Let A
C
be a realization of A subject to a coupling condition C that is elliptic with parameter in the sector Λ. By a coupling condition we mean a nonlocal boundary condition that respects
the covering structure of the boundary. We prove that the resolvent trace for N sufficiently large has a complete asymptotic expansion as . In particular, the heat trace has a complete asymptotic expansion as , and the -function has a meromorphic extension to .
相似文献
16.
Three papers, published coincidentally and independently by Felix Browder, Dietrich G?hde, and W. A. Kirk in 1965, triggered
a branch of mathematical research now called metric fixed point theory. This is a survey of some of the highlights of that
theory, with a special emphasis on some of the problems that remain open.
Dedicated to Felix Browder on the occasion of his 80th birthday 相似文献
17.
Some properties of convergence for archimedean t-conorms and t-norms are investigated and a definition of independence for events, evaluated by a decomposable measure, is introduced. This
definition generalizes the concept of independence provided by Kruse and Qiang for λ-additive fuzzy measures. Finally, we
derive the two Borel–Cantelli lemmas in the context of the general framework considered. 相似文献
18.
Joe J. Perez 《Journal of Geometric Analysis》2009,19(1):87-106
Let G be a unimodular Lie group, X a compact manifold with boundary, and M be the total space of a principal bundle G→M→X so that M is also a strongly pseudoconvex complex manifold. In this work, we show that if G acts by holomorphic transformations in M, then the Laplacian
on M has the following properties: The kernel of □ restricted to the forms Λ
p,q
with q>0 is a closed, G-invariant subspace in L
2(M,Λ
p,q
) of finite G-dimension. Secondly, we show that if q>0, then the image of □ contains a closed, G-invariant subspace of finite G-codimension in L
2(M,Λ
p,q
). These two properties taken together amount to saying that □ is a G-Fredholm operator. It is a corollary of the first property mentioned that the reduced L
2-Dolbeault cohomology spaces
of M are finite G-dimensional for q>0. The boundary Laplacian □
b
has similar properties.
相似文献
19.
Manuel Flores 《Mathematische Zeitschrift》2008,260(3):699-712
In this paper we show that Kohn’s solution to the \({\bar\partial_b}\) problem fails to be hypoelliptic on some class of high codimension submanifolds of \({\mathbb{C}^n}\). The examples presented here carry a Lie group structure which generalize the one-dimensional Heisenberg group. 相似文献
20.
Pseudomonotone maps are a generalization of paramonotone maps which is very closely related to the cutting plane property in variational
inequality problems (VIP). In this paper, we first generalize the so-called minimum principle sufficiency and the maximum
principle sufficiency for VIP with multivalued maps. Then we show that pseudomonotonicity of the map implies the “maximum principle sufficiency” and, in fact, is equivalent to it in a sense. We then present two
applications of pseudomonotone maps. First we show that pseudomonotone maps can be used instead of the much more restricted class of pseudomonotone+ maps in a cutting plane method. Finally, an application to a proximal point method is given.
相似文献