Results 11 to 20 of about 128,737 (285)
Perturbations and Metric Regularity [PDF]
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Dontchev, A. L., Lewis, A. S.
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Refinements to Relation-Theoretic Contraction Principle
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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The Radius of Metric Subregularity [PDF]
There is a basic paradigm, called here the radius of well-posedness, which quantifies the "distance" from a given well-posed problem to the set of ill-posed problems of the same kind.
A Uderzo +31 more
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Regularity of a General Class of “Quantum Deformed” Black Holes
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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On metric regularity in metric spaces [PDF]
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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Directional Regularity and Metric Regularity
For general constraint systems in Banach spaces, we present the directional stability theorem based on the appropriate generalization of the directional regularity condition, suggested earlier in [A. V. Arutyunov and A. F. Izmailov, Math. Oper. Res., 31 (2006), pp. 526-543].
Arutyunov A.V. +2 more
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Effects of temporally regular versus irregular distractors on goal-directed cognition and behavior
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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On the regularity of Ricci flows coming out of metric spaces [PDF]
We consider smooth, not necessarily complete, Ricci flows, $(M,g(t))_{t\in (0,T)}$ with ${\mathrm{Ric}}(g(t)) \geq -1$ and $| {\mathrm{Rm}} (g(t))| \leq c/t$ for all $t\in (0 ,T)$ coming out of metric spaces $(M,d_0)$ in the sense that $(M,d(g(t)), x_0) \
Deruelle, Alix +2 more
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Higher-order regularity in local and nonlocal quantum gravity
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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About [q]-regularity properties of collections of sets [PDF]
We examine three primal space local Hoelder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantitative characterizations.
Kruger, Alexander Y., Thao, Nguyen H.
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