Results 21 to 30 of about 10,697 (290)
Refinements to Relation-Theoretic Contraction Principle
Axioms, 2022 After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as relational metric space), various core fixed point results have been proved in the setting of different ...
Aftab Alam, Reny George, Mohammad Imdad
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On metric regularity in metric spaces [PDF]
Bulletin of the Australian Mathematical Society, 2003 We prove metric regularity results for both single-valued maps and set-valued maps defined between metric spaces.
Gautier, Serge, Pichard, Karine
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Regularity of a General Class of “Quantum Deformed” Black Holes
Universe, 2021 We discuss the “quantum deformed Schwarzschild spacetime”, as originally introduced by Kazakov and Solodukhin in 1993, and investigate the precise sense in which it does and does not satisfy the desiderata for being a “regular black hole”.
Thomas Berry, Alex Simpson, Matt Visser
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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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Comparison of vacuum static quadrupolar metrics [PDF]
Royal Society Open Science, 2018 We investigate the properties of static and axisymmetric vacuum solutions of Einstein equations which generalize the Schwarzschild spherically symmetric solution to include a quadrupole parameter.
Francisco Frutos-Alfaro +2 more
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Fantope Regularization in Metric Learning [PDF]
2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014 This paper introduces a regularization method to ex-plicitly control the rank of a learned symmetric positive semidefinite distance matrix in distance metric learning. To this end, we propose to incorporate in the objective function a linear regularization term that minimizes the k smallest eigenvalues of the distance matrix.
Law, Marc +2 more
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Effects of temporally regular versus irregular distractors on goal-directed cognition and behavior
Scientific Reports, 2022 Human environments comprise plenty of task-irrelevant sensory inputs, which are potentially distracting. Auditory distractors often possess an inherent temporal structure.
Troby Ka-Yan Lui, Malte Wöstmann
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Higher-order regularity in local and nonlocal quantum gravity
European Physical Journal C: Particles and Fields, 2021 In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections.
Nicolò Burzillà +3 more
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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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