Results 21 to 30 of about 128,737 (285)
Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
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Image Quality Assessment Using Regularity of Color Distribution
IEEE Access, 2016 To quantify the perceptual quality of the color image, a novel reduced-reference computational model is proposed in this paper. The proposed metric, named regularity of color distribution measure, is designed to measure the difference of the color ...
Delei Liu, Fuzhong Li, Houbing Song
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Kannan-Type Contractions on New Extended b-Metric Spaces
Journal of Function Spaces, 2021 This article is focused on the generalization of some fixed point theorems with Kannan-type contractions in the setting of new extended b-metric spaces. An idea of asymptotic regularity has been incorporated to achieve the new results. As an application,
Hassen Aydi +5 more
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Global geometry of T2 symmetric spacetimes with weak regularity [PDF]
, 2010 We define the class of weakly regular spacetimes with T2 symmetry, and investigate their global geometry structure. We formulate the initial value problem for the Einstein vacuum equations with weak regularity, and establish the existence of a global ...
LeFloch, Philippe G., Smulevici, Jacques
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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
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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
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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.
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The Radius of Metric Regularity Revisited
Set-Valued and Variational Analysis, 2023 AbstractThe paper extends the radius of metric regularity theorem by Dontchev, Lewis and Rockafellar (2003) by providing an exact formula for the radius with respect to Lipschitz continuous perturbations in general Asplund spaces, thus, answering affirmatively an open question raised twenty years ago by Ioffe. In the non-Asplund case, we give a natural
Helmut Gfrerer, Alexander Y. Kruger
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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
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Low regularity Poincaré–Einstein metrics
Proceedings of the American Mathematical Society, 2017 We prove the existence of a C 1 , 1 C^{1,1} conformally compact Einstein metric on the ball that has asymptotic sectional curvature decay to − 1 -1 plus terms of order e − 2 r e^{-2r}
Bahuaud, Eric, Lee, John M.
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