Results 91 to 100 of about 314,466 (322)

Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective

Advanced Photonics Research, EarlyView.
This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen, Abdul Basit, Lingfang Li, Chong Hou, Yang Ruan, Yating Wei, Zhenhua Ni   +6 more
wiley   +1 more source

Fixed Point Theorems for Asymptotically Contractive Multimappings

International Journal of Mathematics and Mathematical Sciences, 2012
We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions.
M. Djedidi, K. Nachi
doaj   +1 more source

Experimental Test of the Three‐Setting Clauser–Horne–Shimony–Holt Inequality with Nonmaximally Orbital Angular Momentum Entangled States

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, Xiaodong Qiu, Lixiang Chen   +2 more
wiley   +1 more source

Fixed-Point Theorems for Fuzzy Mappings

Mathematics
Since the 1970s and 1980s, significant contributions have been made by Weiss, Butnariu, Heilpern, Chitra, Subrahmanyam, and others, extending fixed-point theorems to fuzzy mappings and topological spaces.
Allan Edley Ramos de Andrade, Vinícius Francisco Wasques   +1 more
doaj   +1 more source

Common fixed point theorems for compatible mappings

International Journal of Mathematics and Mathematical Sciences, 1996
By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş, Mustafa Telci, Brian Fisher   +2 more
doaj   +1 more source

A fixed point theorem for pseudo-arcs and certain other metric continua [PDF]

, 1951
O. H. Hamilton
openalex   +1 more source

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, Vyacheslav V. Khardikov, Izzatjon Allayarov, Antonio Calà Lesina, Andrey B. Evlyukhin   +4 more
wiley   +1 more source

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

Common fixed point theorems of contractive-type mappings

International Journal of Mathematics and Mathematical Sciences, 2004
Using the concept of D-metric we prove some common fixed point theorems for generalized contractive mappings on a complete D-metric space. Our results extend, improve, and unify results of Fisher and Ćirić.
Hee Soo Park, Jeong Sheok Ume
doaj   +1 more source

Dedekind Completeness and a Fixed-Point Theorem [PDF]

, 1957
E. S. Wolk
openalex   +1 more source