共查询到20条相似文献,搜索用时 31 毫秒
1.
In this paper, a class of biholomorphic mappings called complete quasiconvex mappings is introduced and studied in bounded
convex Reinhardt domains of ℂ
n
. Through a detailed analysis of the analytic characterization for this class of mappings, it is shown that this class of
mappings contains the convex mappings and is also a subset of the class of starlike mappings. In the special case of the polydisc,
a decomposition theorem is established for the complete quasiconvex mappings, which in turn is used to derive an improved
sufficient condition for the convex mappings.
Translated from Chinese Annals of Mathematics (Series A) 相似文献
2.
E. A. Sevost’yanov 《Ukrainian Mathematical Journal》2009,61(10):1610-1623
The paper deals with the theory of space mappings. For a generalization of quasiregular mappings important for the investigation
of the Sobolev and other known classes of mappings, we propose a simple condition satisfied by all mappings of this kind and
only by these mappings. On the basis of conditions of divergence of the integrals, we establish sufficient conditions for
the normality of the families of the analyzed classes of mappings and solve the problem of removing isolated singularities.
Some applications of the obtained results to mappings from the Sobolev class are discussed. 相似文献
3.
Generalization of preinvex and B-vex fuzzy mappings 总被引:3,自引:0,他引:3
Yu-Ru Syau 《Fuzzy Sets and Systems》2001,120(3):533-542
A class of fuzzy mappings, called B-preinvex, and strictly B-preinvex fuzzy mappings, is introduced by relaxing the definition of preinvexity of a fuzzy mapping. Similarly, based on a notion of differentiability of fuzzy mappings different from the usual one, the class of pseudo-B-vex, B-invex, and pseudo-B-invex fuzzy mappings is defined as a generalization of pseudo-convex, invex, and pseudo-invex fuzzy mappings. We prove that a strictly B-vex, or B-preinvex fuzzy mapping has at most one global minimum point, and that the class of B-vex fuzzy mappings forms a subset of the class of quasi-convex fuzzy mappings. B-vex (resp. B-preinvex) fuzzy mappings satisfy most of the basic properties of convex (resp. preinvex) fuzzy mappings. In addition characterizations and sufficient optimality conditions are obtained for B-vex and B-preinvex fuzzy mappings. 相似文献
4.
In this paper we first introduce the concept of compatible mappings of type (B) and compare these mappings with compatible mappings and compatible mappings of type (A) in Saks spaces. In the sequel, we derive some relations between these mappings. Secondly, we prove a coincidence point theorem and common fixed point theorem for compatible mappings of type (B) in Saks spaces. 相似文献
5.
Vasile I. Istraţescu 《Annali di Matematica Pura ed Applicata》1982,130(1):89-104
Summary
In this paper we consider several classes of mappings related to the class of contraction mappings by introducing a convexity condition with respect to the iterates of the mappings. Several fixed point theorems are proved for such mappings. Further, in a similar way we consider a related class of mappings satisfying a convexity condition with respect to diameters of bounded sets. In the last part we consider classes of mappings on PM- spaces (probabilistic metric spaces of K. Menger) and some fixed point theorems are given for such classes. 相似文献
6.
在C~n中有界凸Reinhardt域上讨论了一类介于凸映射类与星形映射类之间的“完全准凸映射类”.特别地,在C~n中的多圆柱上给出了完全准凸映射的分解定理,得到了多圆柱上判别凸映射的一个改进的充分条件. 相似文献
7.
Ngin-Tee Koh 《Journal of Mathematical Analysis and Applications》2018,457(1):273-286
We study a hereditary starlikeness property for planar harmonic mappings on a disk and on an annulus. While such a property is a common trait of conformal mappings, it may be absent in harmonic mappings. It turns out that a sufficient condition for a harmonic mapping f to possess this hereditary property is to have a harmonic argument — a striking feature of conformal mappings that does not extend to all harmonic mappings. 相似文献
8.
本文首先给出复Banach空间单位球上一类α次星形映射齐次展开式各项的精细估计,特别当这些映射又是k折对称映射时,估计还是精确的.其次建立C~n中单位多圆柱上上述推广映射齐次展开式各项的精细估计,同样当这些映射又是k折对称映射时,估计仍是精确的.由此证明了多复变数中关于α次星形映射的弱Bieberbach猜想,且所得到的估计都能回到单复变数的情形. 相似文献
9.
John Michael Rassias 《Bulletin des Sciences Mathématiques》2007,131(1):89
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved this problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we generalize the Hyers result for the Ulam stability problem for Jensen type mappings, by considering approximately Jensen type mappings satisfying conditions weaker than the Hyers condition, in terms of products of powers of norms. This process leads to a refinement of the well-known Hyers-Ulam approximation for the Ulam stability problem. Besides we introduce additive mappings of the first and second form and investigate pertinent stability results for these mappings. Also we introduce approximately Jensen type mappings and prove that these mappings can be exactly Jensen type, respectively. These stability results can be applied in stochastic analysis, financial and actuarial mathematics, as well as in psychology and sociology. 相似文献
10.
We modify the definitions of continuity and lower semicontinuity for single-valued mappings and upper and lower semicontinuity for set-valued mappings. For single-valued mappings we have a generalisation of Osgood's theorem and for set-valued mappings we have an extension of Fort's theorem and a generalisation of Michael's selection theorem producing a densely defined selection with a natural continuity property relative to the domain. 相似文献
11.
Tomonari Suzuki Hemant Kumar Pathak 《Journal of Mathematical Analysis and Applications》2010,368(1):211-217
The concepts of almost biased mappings and almost compatible mappings are introduced. Some variants of these concepts are also discussed. A common fixed point theorem for a pair of almost I-biased mappings in metric spaces is proved under certain condition. In the sequel, it is shown that almost biased mappings and almost compatible mappings are equivalent under some condition. 相似文献
12.
一族OWA袋映射带有单位的若干充分条件 总被引:1,自引:0,他引:1
本文首先讨论了OWA袋映射何时带有固定单位,给出了OWA袋映射带有固定单位的充要条件,其次又给出了两类特殊的OWA袋映射-OCWA袋映射和NCWA袋映射带有固定单位和自单位的若干充分条件。 相似文献
13.
We study the scaled Pythagorean-hodograph (PH) preserving mappings. These mappings make offset-rational isothermal surfaces and map PH curves to PH curves. We present a method to produce a great number of the scaled PH preserving mappings. For an application of the PH preserving mappings, we solve the Hermite interpolation problem for PH curves in the space. 相似文献
14.
Banach空间中几乎渐近非扩张型映象的不动点的迭代逼近 总被引:6,自引:0,他引:6
在Banach空间中引入了一类新的几乎渐近非扩张型映象,概括了Banach空间中若干熟知的非线性的Lipschitz映象类与非Lipschitz映象类成特例;例如,熟知的非扩张映象类,渐近非扩张映象类与渐近非扩张型映象类.考虑了用于逼近几乎渐近非扩张型映象不动点的带误差的修改了的Ishikawa迭代序列的收敛性问题.关于Banach空间范数的S.S.Chang的不等式与H.K.Xu的不等式皆被用于做精确不动点与近似不动点间的误差估计.而且,张石生教授用于做带误差的修改了的Ishikawa迭代序列收敛性分析的方法(应用数学和力学,2001,22(1):23-31)被推广到几乎渐近非扩张型映象的情况.给出了用于求一致凸Banach空间中几乎渐近非扩张型映象不动点的带误差的修改了的Ishikawa迭代序列的新的收敛判据.并且,由该判据,立即得到了此类映象的带误差的修改了的Mann迭代序列的新的收敛判据.上述结果统一、改进与推广了张石生教授关于用带误差的修改了的Ishikawa与Mann迭代序列来逼近渐近非扩张型映象不动点方面的结果. 相似文献
15.
In this paper, we introduce a new iterative scheme to investigate the problem of finding a common element of the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Our results improve and extend the recent ones announced by Chen et al. [J.M. Chen, L.J. Zhang, T.G. Fan, Viscosity approximation methods for nonexpansive mappings and monotone mappings, doi:10.1016/j.jmaa.2006.12.088], Iiduka and Tahakshi [H. Iiduka, W. Takahashi, Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings, Nonlinear Anal. 61 (2005) 341–350], Yao and Yao [Y.H. Yao, J.C. Yao, On modified iterative method for nonexpansive mappings and monotone mappings, Appl. Math. Comput, doi:10.1016/j.amc.2006.08.062] and Many others. 相似文献
16.
V. I. Semenov 《Siberian Mathematical Journal》2001,42(6):1156-1164
We define a topological quasiconformality coefficient that catches the branch points of mappings with bounded distortion. We give sufficient conditions for the branch points of mappings and for the injectivity of mappings in a domain. 相似文献
17.
New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators 总被引:1,自引:0,他引:1
The purpose of this article is to prove the strong convergence theorems for hemi-relatively nonexpansive mappings in Banach spaces. In order to get the strong convergence theorems for hemi-relatively nonexpansive mappings, a new monotone hybrid iteration algorithm is presented and is used to approximate the fixed point of hemi-relatively nonexpansive mappings. Noting that, the general hybrid iteration algorithm can be used for relatively nonexpansive mappings but it can not be used for hemi-relatively nonexpansive mappings. However, this new monotone hybrid algorithm can be used for hemi-relatively nonexpansive mappings. In addition, a new method of proof has been used in this article. That is, by using this new monotone hybrid algorithm, we firstly claim that, the iterative sequence is a Cauchy sequence. The results of this paper modify and improve the results of Matsushita and Takahashi, and some others. 相似文献
18.
Lj. B. iri Lj. B. iri Lj. B. iri N. T. Nikoli N. T. Nikoli N. T. Nikoli Ume J. S. Ume J. S. Ume J. S. 《Acta Mathematica Hungarica》2006,113(4):257-267
Summary Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility, and extended the coincidence
theorem for compatible mappings in Kaneko and Sessa [11] to weakly compatible mappings [13]. In the present paper, we define
a new class of weakly compatible mappings (Definition 4) and prove some common fixed point theorems for these mappings, which
satisfy Condition (2) below. Although our main theorem is formulated for weakly compatible mappings, its corresponding formulation
for commutative mappings is also a new result, thus presenting a generalization of some theorems of Fisher, Das and Naik,
Khan and Kubiaczyk, Reich, Ćirić and Rhoades and Watson. 相似文献
19.
Naoki Shioji Tomonari Suzuki Wataru Takahashi 《Proceedings of the American Mathematical Society》1998,126(10):3117-3124
In this paper, we first study the relationship between weakly contractive mappings and weakly Kannan mappings. Further, we discuss characterizations of metric completeness which are connected with the existence of fixed points for mappings. Especially, we show that a metric space is complete if it has the fixed point property for Kannan mappings.
20.
《Fuzzy Sets and Systems》1987,21(1):53-58
We extend Heilpern's fixed point theorem for fuzzy contraction mappings to a pair of generalized fuzzy contraction mappings. Also we prove a fixed point theorem for nonexpansive fuzzy mappings on a compact star-shaped subset of a Banach space. 相似文献