主要讨论了可交换映射的公共不动点问题。
Some problems about common fixed points of commuting mapping were studied.
目的分析研究一类更广的序映射不动点问题。
Aim To analyze a class of generalized fixed-point problems of ordered mappings.
研究映射对与映射族的公共不动点问题,得到一系列结论。
A series of conclusions have been drawn, from the research of common fixed point for pair of mapping and family of mapping.
本文研究了几种典型的非线性算子的不动点问题及收敛性问题。
Fixed point problems and convergence problems of several typical nonlinear operators are studied in this thesis.
本文在紧度量空间中,讨论了压缩型映象的不动点问题,推广和改进了某些已知结果。
The paper is to discuss the fixed point theorems for contractive type mappings in compact matric spaces, the results improve and extend the results of .
不动点问题一直是人们关注的重点问题之一,有关这方面的研究也取得了显著的成绩。
The problem of fixed point is one of the emphasis problems of people's regard and the corresponding research has gained many great achievements.
本文构造了一个新的求解非凸区域上不动点问题的内点同伦算法,并在弱法锥见定义2。
In this paper we construct a new interior-point homotopy method for solving fixed-point problem in nonconvex set, and prove the convergence under the weak normal cone condition see Definition 2.
研究了一个多值增算子的不动点问题,获得了几个存在性定理,所获结果推广了已知的结论。
Several fixed theorems for multivalued increasing operators are obtained, and the obtained results extend and improve the related known works in the literature.
特别讨论了积空间中渐近非扩张映射的不动点问题,研究了某些非扩张映射迭代序列在特定条件下的收敛性问题。
A convergence of Ishikawa iteration sequence with errors is investigated in this paper for asymptotically nonexpansive mapping in uniformly convex Banach Spaces.
这个一直以来原封不动摆在那里的问题可以用四个词来描述:边界,定居点,难民,耶路撒冷。
The intractable problems at the heart of their conflict can be summed up in four words: borders, settlers, refugees, Jerusalem.
通过利用不动点指数理论及一个新的三解定理,得到了边值问题多个正解的存在性。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
主要研究一类三阶两点边值问题变号解的存在性和多重性,利用不动点指数和拓扑度理论等得到了新的结论。
We show existence results for multiple sign-changing solution for third-order two- point boundary value problems by using the fixed point index and the topologic degree theory.
把解互补问题转化为求非线性映照的不动点。
Firstly, solving complementarity problems is changed into finding a nonlinear mapping's fixed point.
讨论了模糊度量空间中在R -弱可换条件下的公共不动点存在性问题,并将此结果推广到模糊2 -度量空间及模糊3 -度量空间。
In this paper, we obtain some common fixed point theorems under the condition of R-weakly commuting in fuzzy metric Spaces and then extend these results to fuzzy 2 and 3-metric Spaces.
并研究了该类映象不动点的存在性问题,给出其对最近点问题的应用。
As application, we study the existence problem of nearest point for this kind of mappings.
它与不动点理论,变分不等式问题,线性和非线性分析,以及其他领域的应用数学如经济,平衡问题等都有密切的联系。
It has an important relation with stationary point theories, variational inequality, linear and nonlinear analysis, and some applied mathematical problems such as economic and equilibrium problems.
通过使用不动点指数定理,我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。
We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.
研究了在完备度量空间中一对模糊映象满足一些特定不等式条件,以及当其截集是中非空有界闭集时,该对模糊映象的公共不动点的存在性问题。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.
利用锥理论和单调迭代技巧讨论了一类逐点次连续的混合单调算子不动点的存在性问题。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
然后应用一阶低通滤波器法分别研究了这两类不动点的控制问题。
Next, a low-pass first order filter is applied to stabilize the two types of fixed points.
利用不动点原理及微分不等式理论,我们证明了边值问题解的存在性,并给出了解的一致有效渐近展开式。
Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.
本文在2 -距离空间中引进了一类新的广义压缩映射,研究了这类映射的不动点的存在性和唯一性问题。
This Paper Introduces a New Generalized Contractive Mapping in 2-distance Spaces and Discusses the Existance and Uniqueness of Its Fixed Piont.
本文利用不动点指数理论得到离散边值问题多重正解的存在性。
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
常微分方程组边值问题锥不动点指数理论正解。
Nonlinear ordinary differential systems boundary value problems cone fixed point index theory positive solution.
本文研究了非自渐近非扩张映象和强伪压缩映象的不动点迭代逼近问题。
The problem of iterative approximation of fixed point for non-self mappings and strongly pseudo-contractive mappings is discussed in this paper.
讨论了不稳定不动点邻域的不稳定轨道的稳定问题。
The stabilization of an unstable periodic orbit in a neighborhood of an unstable fixed point is studied.
应用锥上不动点定理讨论一类四阶两点边值问题正解存在性。
By using fixed point theorem in cone, the authors discuss the existence of positive solutions of fourth order two-point ordinary differential equations.
应用锥上不动点定理讨论一类四阶两点边值问题正解存在性。
By using fixed point theorem in cone, the authors discuss the existence of positive solutions of fourth outer two-point ordinary differential equations.
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