Results 91 to 100 of about 834,629 (316)
A New Fixed Point Theorem and Applications
Abstract and Applied Analysis, 2013 A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained
Min Fang, Xie Ping Ding
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Fixed point theorem utilizing operators and functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper presents a fixed point theorem utilizing operators and functionals in the spirit of the original Leggett-Williams fixed point theorem which is void of any invariance-like conditions.
Douglas Anderson +3 more
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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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All‐Dielectric Metasurface‐Based Gap Waveguides
Advanced Photonics Research, EarlyView.Dielectric metasurface‐based waveguides (metawavegides) offer several advantages over conventional waveguides, making them ideal for integrated photonics. A design of a metawaveguide composed of a pair of dielectric metasurfaces is proposed, where each metasurface behaves as a wall of either a perfect electric conductor or a perfect magnetic conductor,
Vladimir R. Tuz +4 more
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A fixed point theorem for pseudo-arcs and certain other metric continua [PDF]
, 1951 O. H. Hamilton
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Proceedings of the American Mathematical Society, 1957 Barrett O'Neill, Ernst Straus
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Quenchable Amorphous Diamond: A Novel High‐Pressure Route to Tetrahedral Amorphous Carbon
Advanced Theory and Simulations, EarlyView.This study predicts the high‐pressure transformation of amorphous graphite into an sp3‐rich amorphous diamond phase using ab initio molecular dynamics. A first‐order transition is expected to occur ≈33 GPa in experiments, offering a novel synthesis route for sp3‐bonded amorphous carbon.
Murat Durandurdu
wiley +1 more source
The Existence of Cone Critical Point and Common Fixed Point with Applications
Journal of Applied Mathematics, 2011 We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
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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
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