Results 31 to 40 of about 10,697 (290)
Implicit Multifunction Theorems in Banach Spaces
Journal of Applied Mathematics, 2014 This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
doaj +1 more source
Information-Geometric Approach for a One-Sided Truncated Exponential Family
Entropy, 2023 In information geometry, there has been extensive research on the deep connections between differential geometric structures, such as the Fisher metric and the α-connection, and the statistical theory for statistical models satisfying regularity ...
Masaki Yoshioka, Fuyuhiko Tanaka
doaj +1 more source
Note on the Regularity of Nonadditive Measures
Journal of Applied Mathematics, 2013 We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff's theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact ...
Toshikazu Watanabe +2 more
doaj +1 more source
Characterization of quadratic growth of extended-real-valued functions
Journal of Inequalities and Applications, 2016 This paper shows that the sharpest possible bound in the second-order growth condition of a proper lower semicontinuous function can be attained under some assumptions. We also establish a relationship among strong metric subregularity, quadratic growth,
Jin jiang Wang, Wen Song
doaj +1 more source
Directional stability theorem and directional metric regularity
, 2020 We develop a new regularity concept, unifying metric regularity, Robinson's constraint qualification, and directional regularity. We present the directional stability theorem and the related concept of directional metric regularity.
Arutyunov A.V., Izmailov A.F.
core +2 more sources
Estimating the weight of metric minimum spanning trees in sublinear time [PDF]
, 2008 In this paper we present a sublinear-time $(1+\varepsilon)$-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an $n$-point metric space. The running time of the algorithm is $\widetilde{\mathcal{O}}(n/\varepsilon^{\
Christian Sohler +3 more
core +1 more source
Metrically complete regular rings [PDF]
Transactions of the American Mathematical Society, 1982 This paper is concerned with the structure of those (von Neumann) regular rings R which are complete with respect to the weakest metric derived from the pseudo-rank functions on R, known as the N*-metric. It is proved that this class of regular rings includes all regular rings with bounded index of nilpotence, and all 80-continuous regular rings.
openaire +2 more sources
The association between general practitioner regularity of care and ‘high use’ hospitalisation
BMC Health Services Research, 2020 Background In Australia, as in many high income countries, there has been a movement to improve out-of-hospital care. If primary care improvements can yield appropriately lower hospital use, this would improve productive efficiency.
Rachael E. Moorin +3 more
doaj +1 more source
The radius of metric regularity [PDF]
Transactions of the American Mathematical Society, 2002 Metric regularity is a central concept in variational analysis for the study of solution mappings associated with “generalized equations”, including variational inequalities and parameterized constraint systems. Here it is employed to characterize the distance to irregularity or infeasibility with respect to perturbations of the system structure ...
Dontchev, A. L. +2 more
openaire +1 more source
Almost uniform domains and Poincaré inequalities
Transactions of the London Mathematical Society, 2021 Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
doaj +1 more source