Fixed point results for condensing operators via measure of non-compactness
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022 In this paper, we prove some fixed point theorems for condensing operators in the setting of Banach spaces via measure of non-compactness, without using regularity. Our results improve and generalize many known results in the literature.
Touail, Youssef +2 more
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On the Hausdorff measure of non-compactness for the parametrized Prokhorov metric [PDF]
, 2016 We quantify Prokhorov's Theorem by establishing an explicit formula for the Hausdorff measure of non-compactness (HMNC) for the parametrized Prokhorov metric on the set of Borel probability measures on a Polish space.
Berckmoes, Ben
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Existence results of solutions for impulsive fractional differential equations
Nonautonomous Dynamical Systems, 2018 We analyze the existence of solution for the neutral fractional integro-differential equation (FDE) of order in the interval (1, 2] with impulsive and integral boundary conditions (IBCs).
Gupta Vidushi +2 more
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Absolute Continuity Theorem for Random Dynamical Systems on $R^d$ [PDF]
, 2012 In this article we provide a proof of the so called absolute continuity theorem for random dynamical systems on $R^d$ which have an invariant probability measure. First we present the construction of local stable manifolds in this case. Then the absolute
Anosov D. V. +5 more
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An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric [PDF]
, 2016 After shortly reviewing the fundamentals of approach theory as introduced by R. Lowen in 1989, we show that this theory is intimately related with the well-known Wasserstein metric on the space of probability measures with a finite first moment on a ...
B. Berckmoes +3 more
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Information theoretic measures of dependence, compactness, and non-gaussianity for multivariate probability distributions [PDF]
Nonlinear Processes in Geophysics, 2009 A basic task of exploratory data analysis is the characterisation of "structure" in multivariate datasets. For bivariate Gaussian distributions, natural measures of dependence (the predictive relationship between individual variables) and ...
A. H. Monahan, T. DelSole
doaj
On a measure of non‐compactness for singular integrals [PDF]
Journal of Function Spaces, 2003 It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space to . Moreover, a measure of non‐compatness for this operator is estimated from below. Analogous problems for Cauchy singular integrals defined on Jordan smooth curves are studied.
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Progressive contractions, measures of non-compactness and quadratic integral equations [PDF]
Differential Equations & Applications, 2019 The authors use the method of progressive contractions and the measures of non-compactness to obtain a unique asymptotically stable solution of the quadratic integral equation \[ x(t) = g(t, x(t)) + f (t, x(t)) \int_0^t (t-s)^{\beta-1} v(t, s, x(s))ds,\quad t\geq0. \] In my opinion this paper is very nice and very interesting.
Burton, T. A., Purnaras, I. K.
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Implicit Measures of Lostness and Success in Web Navigation [PDF]
, 2007 In two studies, we investigated the ability of a variety of structural and temporal measures computed from a web navigation path to predict lostness and task success. The user’s task was to find requested target information on specified websites. The web
Gwizdka, Jacek, Spence, Ian
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Measure of non-compactness and interpolation methods associated to polygons [PDF]
Glasgow Mathematical Journal, 1999 We establish an estimate for the measure of non-compactness of an interpolated operator acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also derive estimates for entropy numbers if some of the N-tuples reduce to a single Banach space.
Cobos, Fernando +2 more
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