Results 11 to 20 of about 467,435 (242)
Analysis and Geometry in Metric Spaces, 2019 The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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Directional metric regularity of multifunctions [PDF]
, 2013 In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming the completeness of the image spaces, by using the ...
Théra, Michel, van Ngai, Huynh
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Metric regularity under approximations [PDF]
, 2009 In this paper we show that metric regularity and strong metric regularity of a set-valued mapping imply convergence of inexact iterative methods for solving a generalized equation associated with this mapping.
Veliov, Vladimir, Dontchev, Asen
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On metric complements and metric regularity in finite metric spaces [PDF]
, 2020 This review deals with the metric complements and metric regularity in the Boolean cube and in arbitrary finite metric spaces. Let A be an arbitrary subset of a finite metric space M, and A be the metric complement of A — the set of all points of M at ...
Oblaukhov, A. K.
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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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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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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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