Results 41 to 50 of about 1,184,775 (281)
Convergence of damped inertial dynamics governed by regularized maximally monotone operators
Journal of Differential Equations, 2018 In a Hilbert space setting, we study the asymptotic behavior, as time $t$ goes to infinity, of the trajectories of a second-order differential equation governed by the Yosida regularization of a maximally monotone operator with time-varying positive ...
H. Attouch, A. Cabot
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Advanced Engineering Materials, EarlyView.This study demonstrates a novel noninvasive strategy to treat in‐stent restenosis using focused ultrasound. A shape memory alloy stent initially expands at body temperature. If restenosis occurs, targeted ultrasound heating thermally actuates the stent, enabling a secondary expansion to reopen the blocked vessel, offering a potential alternative to ...
Stephen Asare +3 more
wiley +1 more source
Journal of Applied Mathematics, 2012 We introduce and study a class of a system of random set-valued variational inclusion problems. Some conditions for the existence of solutions of such problems are provided, when the operators are contained in the classes of generalized monotone ...
Jittiporn Suwannawit, Narin Petrot
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Extensions of Monotone Operator Functions [PDF]
Proceedings of the American Mathematical Society, 1976 It is shown that a monotone operator function f f defined on an open subset Δ \Delta of the real numbers may be extended to a monotone operator function on the convex hull of Δ \Delta .
openaire +1 more source
Advanced Engineering Materials, EarlyView.This article demonstrates the successful qualification of a copper–tungsten composite for laser powder bed fusion. The resulting components exhibited high density, high thermal conductivity, and reduced thermal expansion. Heat sinks with complex geometries were successfully manufactured, clearly showcasing the material's potential for additive ...
Simon Rauh +6 more
wiley +1 more source
Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
Abstract and Applied Analysis, 2004 We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
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Advanced Engineering Materials, EarlyView.This study elucidates the mechanism of compressible flow exfoliation for producing 2D hexagonal boron nitride (h‐BN). Fluid dynamics analysis reveals that acceleration‐driven aerodynamic shear forces, rather than shock waves alone, drive effective layer separation.
Md Farhadul Islam +3 more
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General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications
Journal of Inequalities and Applications, 2009 We introduce and study a new system of nonlinear variational inclusions involving a combination of A-Monotone operators and relaxed cocoercive mappings.
Lai-Jun Zhao, Jian-Wen Peng
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Solving variational inequalities with monotone operators on domains given by Linear Minimization Oracles [PDF]
Mathematical programming, 2013 The standard algorithms for solving large-scale convex–concave saddle point problems, or, more generally, variational inequalities with monotone operators, are proximal type algorithms which at every iteration need to compute a prox-mapping, that is, to ...
A. Juditsky, A. Nemirovski
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Elinvar Materials: Recent Progress and Challenges
Advanced Engineering Materials, EarlyView.Elinvar materials, exhibiting temperature‐invariant elastic modulus, are critical for precision instruments and emerging technologies. This article reviews recent progress in the field, with a focus on the anomalous thermoelastic behavior observed in key material systems.
Wenjie Li, Yang Ren
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