Results 91 to 100 of about 851,945 (325)
Brouwer's Fixed Point Theorem with Isolated Fixed Points and His Fan Theorem
ISRN Computational Mathematics, 2012 We show that Brouwer’s fixed point theorem with isolated fixed points is equivalent to Brouwer’s fan theorem.
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Advanced Optical Materials, EarlyView.A flexible metallic metasurface sticker is placed on a dielectric metasurface to study interlayer optical coupling. A bright quadrupolar surface lattice resonance in the top layer and a dark quadrupole mode in the bottom layer hybridize into symmetric and antisymmetric modes.
Tien Yang Lo +3 more
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Some fixed point theorems for discontinuous mappings [PDF]
This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core
Advanced Photonics Research, EarlyView.Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang +2 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
Fixed Point Theorem for W-h Contraction Mappings In Generalized Menger Spaces [PDF]
, 2023 ABDERRAHIM MBARKI
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Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
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On a fixed point theorem Krasnoselskii-Shafer type
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this paper a variant of a fixed point theorem to Krasnoselskii-Schaefer type is proved and it is further applied to certain nonlinear integral equation of mixed type for proving the existence of the solution.
Bapurao Dhage
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Proceedings of the American Mathematical Society, 1957 O'Neill, B., Straus, E. G.
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
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