Results 101 to 110 of about 834,629 (316)
A fixed-point theorem of Krasnoselskii
Applied Mathematics Letters, 1998 Krasnosel'skij's fixed-point theorem asks for a convex set \(M\) and a mapping \(Pz=Bz+Az\) such that (i) \(Bx+Ay\in M\) for each \(x,y\in M\), (ii) \(A\) is continuous and compact, (iii) \(B\) is a contraction. Then \(P\) has a fixed point. A careful reading of the proof reveals that (i) need only ask that \(Bx+Ay\in M\) when \(x=Bx+Ay\).
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Advanced Theory and Simulations, EarlyView.The seal louse Echinophthirius horridus has uniquely shaped setae that may reduce drag during its host's dives. Using numerical simulations, this study demonstrates that their natural inclination promotes vortex formation, minimizing friction and energy loss. These findings provide insights into biological surface adaptations and may inspire the design
Anika Preuss +3 more
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A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]
I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core
Advanced Science, EarlyView.DECENT is a deep learning method that enhances noninvasive preimplantation genetic testing by accurately reconstructing embryonic copy number variations (CNVs) from cell‐free DNA in spent embryo culture media. By mitigating maternal contamination, DECENT improves diagnostic accuracy, even with high contamination levels, offering a reliable, noninvasive
Zhenyi Zhang +3 more
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Minimax and fixed point theorems
Mathematische Annalen, 1980 Since then, numerous applications of this interesting theorem have been found. The object of this note is to obtain a generalization of Theorem 1 by relaxing, among the others, the compactness condition. It contains a fixed point theorem for maps with inwardness or outwardness conditions given by Fan [6]. As its direct consequence, we also obtain a new
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Prediction of Microstructural Representativity From A Single Image
Advanced Science, EarlyView.Accurately estimating the reliability of phase fraction measurements from limited microstructural data remains a key challenge and is rarely reported for this reason. ImageRep addresses the problem by adapting the Two‐Point Correlation function to assess representativity from a single image.
Amir Dahari +3 more
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III. Some new theorems on the motion of a body about a fixed point [PDF]
, 1873 Edward John Routh
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Aging and the Spectral Properties of Brain Hemodynamics
Advanced Science, EarlyView.As the brain ages, its metabolic demands decline—but not uniformly. Here, spectral slope flattening of resting‐state fMRI signals is proposed as a potential biomarker of pathologic brain aging. A subset of older adults diverges from youthful spectral and metabolic patterns, with changes linked to frontal white matter pathology and regional loss of ...
Ki Yun Park +9 more
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The fixed point index and asymptotic fixed point theorems for $k$-set-contractions [PDF]
, 1969 Roger D. Nussbaum
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