高级检索

 作者：Ben Berckmoes , Tim Hellemans , Mark Sioen ... 来源：[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2017, Vol.449 (2), pp.1770-1789Elsevier 摘要：... Lowen in 1989, we show that this theory is intimately related to the well-known Wasserstein metric on the space of probability measures with a finite first moment on a complete and separable metric space. More precisely, we introduce a canonical approach structure, called the...
 作者：Blanca F. Besoy , Fernando Cobos 来源：[J].Journal of Approximation Theory(IF 0.755), 2019, Vol.243, pp.25-44Elsevier 摘要：Abstract(#br)Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function parameter.
 作者：Ehmet Ablet , Lixin Cheng , Qingjin Cheng ... 来源：[J].Science China Mathematics(IF 0.497), 2019, Vol.62 (1), pp.147-156Springer 摘要：Abstract(#br)In this paper, we show that every infinite dimensional Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure. Therefore, it resolves a long-standing question.
 作者：Vladimir G. Troitsky 来源：[J].Positivity(IF 0.295), 2004, Vol.8 (2), pp.165-178Springer 摘要：... Nauk 27 (1(163)) (1972), 81–146] used representation spaces to study measures of non-compactness and spectral radii of operators on Banach lattices. In this paper, we develop representation spaces based on the nonstandard hull construction (which is equivalent to the ult...
 作者：M. Raja 来源：[J].Journal of Functional Analysis(IF 1.252), 2007, Vol.253 (1), pp.273-286Elsevier 摘要：Abstract(#br)We study the relationships between the ordinal indices of set derivations associated to several measures of non-compactness. We obtain applications to the Szlenk index, improving a result of Lancien, and LUR renorming, providing a non-probabilistic proof of a result ...
 作者：G. Lancien , A. Procházka , M. Raja 来源：[J].Journal of Functional Analysis(IF 1.252), 2017, Vol.272 (2), pp.498-521Elsevier 摘要：Abstract(#br)We study the general measures of non-compactness defined on subsets of a dual Banach space, their associated derivations and their ω -iterates. We introduce the notions of convexifiable and sublinear measure of non-compactness and investigate the properties of ...
 作者：Adrian Petruşel , Bianca Satco 来源：[J].Fixed Point Theory and Applications(IF 1.866), 2015, Vol.2015 (1), pp.1-18Springer 摘要：$$\textstyle\begin{cases} dx=(-Ax+f(t,x))\,dt+dg, \quad t\in[0,1],\\ x(0)=x_{0}, \end{cases}$$]]> where − A is the infinitesimal generator of a (uniformly or strongly) continuous semigroup ...
 作者：Mohamed Jleli , Mohammad Mursaleen , Bessem Samet 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2016, Vol.2016 (17,), pp.1-14DOAJ 摘要：...The techniques in this work are based on the measure of non-compactnessargument and a generalized version of Darbo's theorem.An example is presented to illustrate the obtained result.
 作者：Anupam Das , Bipan Hazarika 来源：[J].Linear and Multilinear Algebra(IF 0.677), 2017, Vol.65 (12), pp.2551-2573Taylor & Francis 摘要：...gif"/> by applying the Hausdorff measure of non-compactness.
 作者：Mohsen Rabbani , Reza Arab 来源：[J].Mathematical Sciences, 2017, Vol.11 (2), pp.87-94Springer 摘要：Abstract(#br)In this paper, the concept of contraction via the measure of non-compactness on a Banach space is investigated by generalizing some results which have been previously discussed in literatures. Furthermore, to validity of the theorems and homotopy perturbation method ...