Results 61 to 70 of about 4,918 (271)
Forum of Mathematics, SigmaGiven a continuous linear cocycle $\mathcal {A}$ over a homeomorphism f of a compact metric space X, we investigate its set $\mathcal {R}$ of Lyapunov-Perron regular points, that is, the collection of trajectories of f that obey the ...
Jairo Bochi, Yakov Pesin, Omri Sarig
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Fixed Points in Multiplicative Metric Spaces
General MathematicsAbstract In this article, using only our recent concept of occasionally weakly biased mappings of type ( A ), in multiplicative metric spaces, we could find unique common fixed points.
Hakima Bouhadjera +2 more
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Fixed points of multiplicative contraction mappings on multiplicative metric spaces
Journal of Engineering Technology and Applied Sciences, 2017 In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real numbers R_+ is a complete multiplicative metric space with respect to the multiplicative absolute value function ...
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Advanced Engineering Materials, EarlyView.Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
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A Link Between the Multiplicative and Additive Functional Asplund’s Metrics
, 2019 International audienceFunctional Asplund's metrics were recently introduced to perform pattern matching robust to lighting changes thanks to double-sided probing in the Logarithmic Image Processing (LIP) framework.
Noyel, Guillaume, Guillaume Noyel
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Advanced Engineering Materials, EarlyView.This study demonstrates how optimizing laser power, scanning speed, and hatching distance in laser powder bed fusion can boost the productivity of Inconel 718 manufacturing by up to 29% while maintaining mechanical integrity. The work delivers a validated process window and cost–time analysis, offering industry‐ready guidelines for efficient additive ...
Amir Behjat +7 more
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Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces
Wuhan University Journal of Natural SciencesThe study delves into multiplicative contractions, exploring the existence and uniqueness of common fixed points for a weakly compatible pair of mappings. Those mappings adhere to specific multiplicative contraction conditions characterized by exponents expressed as fraction multiplicative metric spaces.
Jiping SONG, Tianqi LUO, Lei LEI
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Metric Graph Approximations of Geodesic Spaces
, 2023 We study the question of approximating a compact geodesic metric space by metric graphs satisfying a uniform upper bound on their first Betti number. We prove that, up to a suitable multiplicative constant, Reeb graphs of distance functions to a point ...
Wang, Qingsong +2 more
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Invariant measures whose supports possess the strong open set property [PDF]
Opuscula Mathematica, 2008 Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions on it. If \(P\) is a probability distribution on the maps, and \(K\) is the fractal determined by \(S\), there is a unique Borel probability measure ...
Gerald S. Goodman
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Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
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