Results 101 to 110 of about 314,466 (322)
Proceedings of the American Mathematical Society, 1957 Barrett O'Neill, Ernst Straus
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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 Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points
, 2003 Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme.
Yanofsky, Noson S.
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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Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces
Journal of Applied Mathematics, 2013 We prove two new fixed point theorems in the framework of partially ordered metric spaces. Our results generalize and improve many recent fixed point theorems in the literature.
Chi-Ming Chen +2 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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Some Remarks on G-Metric Spaces and Fixed Point Theorems
International Journal of Analysis and Applications, 2014 We notice some remarks on G-metric spaces and the fixed point results of contractive mappings defined on such spaces. Our results generalize, extend and complement recent fixed point theorems established by Jleli and Samet [M. Jleli and B.
Vesna Cojbasic Rajic
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