Results 121 to 130 of about 416,861 (348)

A fixed point theorem for set-valued quasi-contractions in b-metric spaces

Fixed Point Theory and Applications, 2012
In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.
H. Aydi, Monica-Felicia Bota, E. Karapınar, Slobodan Mitrovic   +3 more
semanticscholar   +1 more source

Photonic Bayesian Neural Networks: Leveraging Programmable Noise for Robust and Uncertainty‐Aware Computing

Advanced Science, EarlyView.
This work introduces a novel photonic Bayesian neural network architecture that utilizes tunable photonic random number generators to independently control weight distribution parameters, significantly improving robustness, scalability, and accuracy while demonstrating practical applications in multimodal data processing and uncertainty‐aware computing.
Yangyang Zhuge, Zhihao Ren, Zian Xiao, Zixuan Zhang, Xinmiao Liu, Weixin Liu, Siyu Xu, Chong Pei Ho, Nanxi Li, Chengkuo Lee   +9 more
wiley   +1 more source

Mizoguchi-Takahashi’s Fixed Point Theorem with , Functions

, 2013
We introduce the notion of generalized -admissible mappings. By using this notion, we prove a fixed point theorem. Our result generalizes Mizoguchi-Takahashi’s fixed point theorem. We also provide some examples to show the generality of our work.
M. Ali, T. Kamran, W. Sintunavarat, Phayap Katchang   +3 more
semanticscholar   +1 more source

On Latif's Fixed Point Theorems

Taiwanese Journal of Mathematics, 2011
In this paper, we prove that Latif’s fixed point statements for w-distance or other weak distances are indeed equivalent with some weak distance variants of Caristi’s fixed point statement, Ekeland’s variational principle statement and Takahashi’s nonconvex minimization ...
openaire   +3 more sources

Correlations in Magnetic Sub‐Domains as an Unconventional Phase Diagram for van der Waals Ferromagnets

Advanced Science, EarlyView.
An unconventional magnetic order is observed in exfoliated CrBr3 layers, characterized by vertically correlated planar magnetic sub‐domains. Magnetic force microscopy, ab initio calculations, and micromagnetic simulations indicate that these sub‐domains arise from stacking faults modifying interlayer exchange coupling.
Sergey Y. Grebenchuk, Magdalena Grzeszczyk, Zhaolong Chen, Makars Šiškins, Vladislav Borisov, Manuel Pereiro, Mikhail I. Katsnelson, Olle Eriksson, Kostya S. Novoselov, Maciej Koperski   +9 more
wiley   +1 more source

A Generalization of Kannan's Fixed Point Theorem

Fixed Point Theory and Applications, 2009
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji, Masato Nakanishi, Tomonari Suzuki   +2 more
doaj   +1 more source

Fixed point theorem for weakly Chatterjea-type cyclic contractions

, 2013
In this article, we introduce the notion of a Chatterjea-type cyclic weakly contraction and derive the existence of a fixed point for such mappings in the setup of complete metric spaces.
S. Chandok, M. Postolache
semanticscholar   +1 more source

Fixed Point Theorems on Partial Randomness [PDF]

Annals of Pure and Applied Logic, 2008
In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T, such as free energy F(T), energy E(T), and statistical mechanical entropy S(T), into the theory.
openaire   +4 more sources

Unusual Thermal Transport in Few‐Layer Van der Waals Antiferromagnet CrOCl

Advanced Science, EarlyView.
Thermal transport serves as an ultra‐sensitive probe for detecting the magnetic order in 2D materials. Using the suspended thermal bridge method enhanced by Wheatstone bridges, it is, for the first time, observed anomalous critical behavior in few‐layer CrOCl near its Néel temperature.
Yu Yang, Yan Zhou, Ziming Tang, Yulu Liu, Weimin Quan, Jun Zhou, Xiaokang Li, Xiaoxiang Xi, Qihua Gong, Lifa Zhang, Yunshan Zhao   +10 more
wiley   +1 more source

A fixed point theorem [PDF]

Proceedings of the American Mathematical Society, 1957
Barrett O'Neill, Ernst Straus
openaire   +1 more source