Results 41 to 50 of about 52,043 (285)

A note on fixed-point theorems

Journal of Approximation Theory, 1982
AbstractIn an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces.
M.D Humphries, T.L Hicks
openaire   +2 more sources

Brauer's Fixed Point Theorem

International Journal of Advanced Science and Engineering, 2021
The primary goal of the paper is to deliver a simple proof of equivalence between Brouwer’s fixed point theorem and the existence of equilibrium in a simple exchange model with monotonic consumers. To achieve this end, we discuss some equivalent formulations of Brouwer’s theorem and prove additional ones, that are ’approximating’ in character or seem ...
openaire   +2 more sources

A Novel Approach to Implementing Artificial Thalamic Neurons with Ferroelectric Transistors

Advanced Functional Materials, EarlyView.
Artificial neurons created using CMOS technology often require a large number of transistors and capacitors. This study introduces an artificial thalamic neuron that employs only five CMOS compatible ferroelectric transistors. The manufactured thalamic neuron demonstrates leaky integrate‐and‐fire‐or‐burst (LIFB) functionalities, featuring self ...
Andreas Grenmyr, Jiayuan Zhang, Jingxuan Sun, Kenta Moto, Stefan Wiefels, Seong‐Ryong Koh, Detlev Grützmacher, Qing‐Tai Zhao   +7 more
wiley   +1 more source

Almost fixed point theorems [PDF]

Proceedings of the American Mathematical Society, 1988
A closed cover version of Hazewinkel and van de Vel’s theorem on the existence of γ \gamma -almost fixed points for set-valued functions and for real Hausdorff topological vector spaces is proved. Generalizations of well-known fixed point theorems of the Schauder-Tychonoff type are presented.
openaire   +1 more source

Quantum Emitters in Hexagonal Boron Nitride: Principles, Engineering and Applications

Advanced Functional Materials, EarlyView.
Quantum emitters in hexagonal boron nitride have emerged as a promising candidate for quantum information science. This review examines the fundamentals of these quantum emitters, including their level structures, defect engineering, and their possible chemical structures.
Thi Ngoc Anh Mai, Md Shakhawath Hossain, Nhat Minh Nguyen, Yongliang Chen, Chaohao Chen, Xiaoxue Xu, Quang Thang Trinh, Toan Dinh, Toan Trong Tran   +8 more
wiley   +1 more source

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

Advanced Materials, EarlyView.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman, Ruben Goeminne, Kuber Singh Rawat, Veronique Van Speybroeck   +3 more
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
doaj   +1 more source

Acoustic Moiré Flat Bands in Twisted Heterobilayer Metasurface

Advanced Materials, EarlyView.
This research proposes a heterobilayer moiré acoustic metasurface using two distinct lattice structures. The heterobilayer design contributes to divergent dispersion curves for the upper and lower layers and allows for greater flexibility in tuning their hybridization through interlayer twisting.
Shida Fan, Chenglin Han, Kuan He, Liang Bai, Li‐Qun Chen, Huaitao Shi, Chen Shen, Tianzhi Yang   +7 more
wiley   +1 more source

Inorganic Dielectric Materials Coupling Micro‐/Nanoarchitectures for State‐of‐the‐Art Biomechanical‐to‐Electrical Energy Conversion Devices

Advanced Materials, EarlyView.
Biomechanical‐to‐electrical energy conversion devices are uniquely suited for self‐driven physiological information monitoring and powering human–computer interaction systems. These devices based on micro‐/nanoarchitectured inorganic dielectric materials (MNIDMs) have shown ultrahigh electromechanical performance and thus great potential for practical ...
Jia‐Han Zhang, Zhengtong Li, Zeng Liu, Mingxuan Li, Jiaxin Guo, Jinhua Du, Changkun Cai, Shaohui Zhang, Ningning Sun, Yong Li, Xingtao Xu, Xihong Hao, Yusuke Yamauchi   +12 more
wiley   +1 more source

A fixed point theorem for analytic functions

Fixed Point Theory and Applications, 2005
We prove that each analytic self-map of the open unit disk which interpolates between certain -tuples must have a fixed point.
Matache Valentin
doaj   +2 more sources