Banach空间中渐近拟非扩张映象的具误差Ishikawa迭代序列(英文)

本文我们证明了Banach空间中渐近拟非扩张映象T的具误差Ishikawa迭代过程收敛到不动点的一个充要条件 ,其中T不要求连续 .我们的定理推广了近期的相应结果 .     

Stability of iterative procedures with errors approximating common fixed points for a couple of quasi-contractive mappings in q-uniformly smooth Banach spaces

In this paper, we introduce the new iterative sequences with errors approximating the common fixed point for a couple of quasi-contractive mappings and show the stability of the iterative procedures with errors in q-uniformly smooth Banach spaces. Our results extend, improve and unify the corresponding results of Chidume, Osilike, Liu, and others.     

Finite-range interactions and phases

Summary We consider a one-dimensional system of hard balls on the positive half-line with a general finite-range interaction in thermodynamical equilibrium. We show that, under the action of a weak gravitational field, one can distinguish two spatially separated subsystems: a dense one, which we call the condensate, and a dilute one which we call the gas; between these two, there is a narrow interface where both subsystems mix.     

A marked difference between two populations under mass screening of neonatal TSH and biotinidase activity

Health-associated reference values are universally needed in clinical chemistry. The aim of this study was to establish the reference intervals of two populations from data obtained by the mass screening of newborn babies and to demonstrate how to determine 95% confidence intervals around the lower and upper limits of reference values from values that are not normally distributed. Biotinidase activities from Belgian (n=260) and Turkish (n=328) populations were measured by fluorometric assay and expressed as 1 IU (1 nmol/(dl min). Neonatal thyroid-stimulating hormone (nTSH) values from Belgian (n=4186) and Turkish (n=1663) populations were also measured by the solid phase two-site fluoroimmunometric assay, the results were given as μU/ml blood. Transformation of data was performed for each parameter. A parametric method was used for determination of reference values of biotinidase activity and the Belgian population was significantly higher than the Turkish population. nTSH reference values were evaluated by an exact non-parametric method, but approximate calculation based on the central limit theorem was also performed for confidence intervals around the reference limits. nTSH values of the Turkish population were found to be significantly higher than for the Belgian population. Rank numbers were found by an exact non-parametric method based upon the assumption of a binomial distribution. This study shows a procedure to define the rank numbers for n>1000 and to obtain reference values with 95% confidence intervals for lower and upper reference limits. Received: 20 July 2002 Accepted: 27 July 2002 Acknowledgements We are grateful to Professor Per Hyloft Peterson, Clinical Biochemist, Odense University Hospital, for his valuable advice and criticism. Also we would like to thank John Pezzullo Associate Professor for Pharmacology and Biostatistics, at Georgetown University Medical Center, for his binomial and approximate calculations. We also want to thank Professor Fatma Kutay, Clinical Chemist, Ege University Medical School and Hospital, for her contributions. This investigation was supported in part by a short term FEBS (Federation European Biochemical Society) fellowship grant. Presented at the European Conference on Quality in the Spotlight in Medical Laboratories, 7–9 October 2001, Antwerp, Belgium Correspondence to T. Tanyal?ın     

Two fluid approximations for multi-server queues with abandonments

Insight is provided into a previously developed M/M/s/r+M(n) approximation for the M/GI/s/r+GI queueing model by establishing fluid and diffusion limits for the approximating model. Fluid approximations for the two models are compared in the many-server efficiency-driven (overloaded) regime. The two fluid approximations do not coincide, but they are close.     

Impulsive neutral functional differential inclusions in Banach spaces

The aim of this paper is to study the existence of solutions to some classes of impulsive neutral functional differential inclusions in Banach spaces. We shall make use of a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler.     

A Cartan–Hadamard Theorem for Banach–Finsler Manifolds

In this paper we study Banach–Finsler manifolds endowed with a spray which have seminegative curvature in the sense that the corresponding exponential function has a surjective expansive differential in every point. In this context we generalize the classical theorem of Cartan–Hadamard, saying that the exponential function is a covering map. We apply this to symmetric spaces and thus obtain criteria for Banach–Lie groups with an involution to have a polar decomposition. Typical examples of symmetric Finsler manifolds with seminegative curvature are bounded symmetric domains and symmetric cones endowed with their natural Finsler structure which in general is not Riemannian.     

多值单调算子的隐补问题

在Banach空间中引入了多值算子的隐补问题和相补问题的新概念，并证明了多值单调算子隐补问题和相补问题解的存在性定理。