Results 31 to 40 of about 128,737 (285)
Characterization of quadratic growth of extended-real-valued functions
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
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Sweeping process by prox-regular sets in Riemannian Hilbert manifolds [PDF]
In this paper, we deal with sweeping processes on (possibly infinite-dimensional) Riemannian Hilbert manifolds. We extend the useful notions (proximal normal cone, prox-regularity) already defined in the setting of a Hilbert space to the framework of ...
Bernicot, Frédéric, Venel, Juliette
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Directional Metric Regularity of Multifunctions
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 relative lower semicontinuous envelopes of the distance functions to set-valued mappings.
Huynh, van Ngai, Théra, Michel
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An induction theorem and nonlinear regularity models [PDF]
A general nonlinear regularity model for a set-valued mapping $F:X\times R_+\rightrightarrows Y$, where $X$ and $Y$ are metric spaces, is considered using special iteration procedures, going back to Banach, Schauder, Lusternik and Graves.
Khanh, Phan Q. +2 more
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Metric Regularity of Newton's Iteration
For a version of Newton's method applied to a generalized equation with a parameter, we extend the paradigm of the Lyusternik–Graves theorem to the framework of a mapping acting from the pair “parameter-starting point” to the set of corresponding convergent Newton sequences. Under ample parameterization, metric regularity of the mapping associated with
Aragón Artacho, Francisco J. +4 more
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The association between general practitioner regularity of care and ‘high use’ hospitalisation
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
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Boost-rotation symmetric vacuum spacetimes with spinning sources [PDF]
Boost-rotation symmetric vacuum spacetimes with spinning sources which correspond to gravitational field of uniformly accelerated spinning "particles" are studied. Regularity conditions and asymptotic properties are analyzed.
A. Pravdová +6 more
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Almost uniform domains and Poincaré inequalities
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
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Metric Regularity of the Sum of Multifunctions and Applications
In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems.
Nguyen, Huu Tron +2 more
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Anisotropic stars via embedding approach in Brans–Dicke gravity
In the present article, the solution of the Einstein–Maxwell field equations in the presence of a massive scalar field under the Brans-Dicke (BD) gravity is obtained via embedding approach, which describes a charged anisotropic strange star model.
S. K. Maurya +4 more
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