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1.
用事误差项的Ishikawa迭代过程逼近φ—强增生算子的零点   总被引:9,自引:0,他引:9  
周海云 《数学学报》1998,41(5):1091-1100
本文使用新的分析技巧研究了一致光滑Banach空间中φ-强增生算子的零点逼近的问题,所得结果改进和扩展了近期许多相应的结果。  相似文献   

2.
通过使用新的分析技巧,建立了(关于)渐近非扩展映象的修正的迭代格式的强收敛定理.所得结果改进了Schu,Rhoades以及其他作相关的结果。  相似文献   

3.
使用赋范空间中一个不等式及某些分析技巧,证明了赋范空间中Х-半压缩映象的不动点的Ishikawa迭代过程的若干收敛定理,改进和扩展了近期相应的一些结果。  相似文献   

4.
周海云  陈东青 《应用数学》1998,11(3):118-121
使用赋范空间中一个不等式以及某些分析技巧,证明了赋范线性空间中φ-半压缩映象的不动点的迭代过程的若干收敛定理,改进和扩展了近期相应的一些结果。  相似文献   

5.
一类具有广义Lipschitz条件的非线性映象的迭代过程   总被引:2,自引:0,他引:2  
谷峰 《应用数学》1999,12(3):44-48
本文研究了广义Lipschitz强增生映象的Ishikawa型迭代和Mann型迭代过程的收敛性.所得结果统一和扩展了近期相关结果  相似文献   

6.
一致光滑Banach空间中一类非线性映象的迭代过程   总被引:23,自引:1,他引:22  
本文引入了广义Lipschitz的概念,研究了广义Lipschitz强增生映象的Mann型迭代和Ishikawa型迭代过程的收敛性,所得结果统一和扩展了近期相关结果.  相似文献   

7.
使用新的证明方法,在去掉数列{an}单调递减的条件下,建立了一致凸Banach空间中的渐近非扩展映象不动点的具误差的Ishikawa迭代序列的新强收敛定理.其结果推广和改进了Schu,Rhoades及周海云等作者的相关结果.  相似文献   

8.
关于Ishikawa迭代程序稳定性的注释   总被引:6,自引:0,他引:6  
薛志群  田虹 《应用数学和力学》2002,23(12):1314-1318
在实一致光滑Banach空间中,研究了一类具有值域有界、连续强伪压缩算子和连续强增生算子的Ishikawa迭代程序的稳定性;给出了迭代程序中参数所满足的条件,并证明了迭代过程的收敛性。所得结果改进和扩展近期相关结果,为进一步讨论带误差迭代程序的收敛性提供理论依据。  相似文献   

9.
使用赋范空间中一个不等式以及某些分析技巧,证明了赋范线性空间中中半压缩映象的不动点的迭代过程的若干收敛定理,改进和扩展了近期相应的一些结果.  相似文献   

10.
使用赋范空间中一个不等式及某些分析技巧,证明了赋范空间中φ-半压缩映象的不动点的Ishikawa迭代过程的若干收敛定理,改进和扩展了近期相应的一些结果.  相似文献   

11.
In this paper we prove some compactness results for a large class of singular transport equations. Our approach relies on some comparison results for positive operators. Our results extend and complete several earlier works. We also provide simpler proofs for several known results in the literature.  相似文献   

12.
Strong convergence results are obtained for vector-valued random fields. Substantial development of Banach-valued random fields and summability results is needed to provide the framework for the major results since many plausible extensions fail for multi-indexed Banach-valued random variables. This development yields general convergence results for random fields in Banach spaces, including an Ito-Nisio theorem and strong laws of large numbers.  相似文献   

13.
In this paper, we consider systems of vector quasi-variational inclusions which include systems of vector quasi-equilibrium problems for multivalued maps, systems of vector optimization problems and several other systems as special cases. We establish existence results for solutions of these systems. As applications of our results, we derive the existence results for solutions of system vector optimization problems, mathematical programs with systems of vector variational inclusion constraints and bilevel problems. Another application of our results provides the common fixed point theorem for a family of lower semicontinuous multivalued maps. Further applications of our results for existence of solutions of systems of vector quasi-variational inclusions are given to prove the existence of solutions of systems of Minty type and Stampacchia type generalized implicit quasi-variational inequalities. The results of this paper can be seen as extensions and generalizations of several known results in the literature.  相似文献   

14.
Research is an incremental, iterative process, with new results relying and building upon previous ones. Scientists need to find, retrieve, understand, and verify results to confidently extend them, even when the results are their own. We present the trackr framework for organizing, automatically annotating, discovering, and retrieving results. We identify sources of automatically extractable metadata for computational results, and we define an extensible system for organizing, annotating, and searching for results based on these and other metadata. We present an open-source implementation of these concepts for plots, computational artifacts, and woven dynamic reports generated in the R statistical computing language. Supplementary materials for this article are available online.  相似文献   

15.
In this paper, we obtain some stability results in complete convex metric spaces for nonselfmappings satisfying certain general contractivity condition. We prove our results for Jungck-Mann and Jungck-Ishikawa iterations. Our results extend several stability results in the literature.  相似文献   

16.
In this paper we review and extend the effective bandwidth results of Kelly [28], and Kesidis, Walrand and Chang [29, 6]. These results provide a framework for call admission schemes which are sensitive to constraints on the mean delay or the tail distribution of the workload in buffered queues. We present results which are valid for a wide variety of traffic streams and discuss their applicability for traffic management in ATM networks. We discuss the impact of traffic policing schemes, such as thresholding and filtering, on the effective bandwidth of sources. Finally we discuss effective bandwidth results for Brownian traffic models for which explicit results reveal the interaction arising in finite buffers.  相似文献   

17.
This paper is devoted to the study of the oscillatory behavior of solutions of nonlinear hyperbolic equations with functional arguments by using integral averaging method and a generalized Riccati technique. First, we establish oscillation results for nonlinear hyperbolic equations by applying oscillation criteria for Riccati inequality. Secondly, we present interval oscillation results for nonlinear hyperbolic equations. These results improve and extend oscillation results of Cui and Xu [1].  相似文献   

18.
We explore convergence notions for bivariate functions that yield convergence and stability results for their max/inf points. The results are then applied to obtain continuity results for Walras equilibrium points under perturbations of the utility functions of the agents.  相似文献   

19.
NA样本下一般形式的密度估计   总被引:2,自引:0,他引:2  
Campos和Dorea(2001)在独立同分布样本下讨论了一般形式的核密度估计,得到了与连续型密度和离散型密度类似的结果,并将他们作为特例.本文则在NA样本下给出了类似的结果.  相似文献   

20.
This article presents extensions of the Cramér-Wold theorem to measures that may have infinite mass near the origin. Corresponding results for sequences of measures are presented together with examples showing that the assumptions imposed are sharp. The extensions build on a number of results and methods concerned with injectivity properties of the Radon transform. Using a few tools from distribution theory and Fourier analysis we show that the presented injectivity results for the Radon transform lead to Cramér-Wold type results for measures. One purpose of this article is to contribute to making known to probabilists interesting results for the Radon transform that have been developed essentially during the 1980s and 1990s.  相似文献   

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