Results 51 to 60 of about 133,611 (249)

Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces

InPrime, 2022
The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing
Ainun Sukmawati Al Idrus, Resmawan Resmawan, Muhammad Rezky Friesta Payu, Salmun K. Nasib, Asriadi Asriadi   +4 more
doaj   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

Toplogical and Geometric KM-Single Valued Neutrosophic Metric Spaces [PDF]

Mathematics Interdisciplinary Research, 2020
‎This paper introduces the novel concept of KM-single valued neutrosophic metric spaces as an especial generalization of KM-fuzzy metric spaces‎, ‎investigates several topological and structural properties and presents some of its applications‎.
Mohammad Hamidi, Mahdi Mollaei-Arani, Yousef Alipour-Fakhri   +2 more
doaj   +1 more source

The limit space of a Cauchy sequence of globally hyperbolic spacetimes

, 2003
In this second paper, I construct a limit space of a Cauchy sequence of globally hyperbolic spacetimes. In the second section, I work gradually towards a construction of the limit space. I prove the limit space is unique up to isometry.
Beem J K, Bombelli L Noldus J, Busemann H, Gromov M, Johan Noldus, Kriele M, Meyer D, Noldus J, Noldus J, Page W, Petersen P, Sorkin R Woolgar E   +11 more
core   +1 more source

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

On Weak Statistical Convergence

International Journal of Mathematics and Mathematical Sciences, 2007
The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences ...
Vinod K. Bhardwaj, Indu Bala
doaj   +1 more source

On $A$-statistical convergence and $A$-statistical Cauchy via ideal

Karpatsʹkì Matematičnì Publìkacìï, 2022
In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
doaj   +1 more source

Cross‐Modal Denoising and Integration of Spatial Multi‐Omics Data with CANDIES

Advanced Science, EarlyView.
In this paper, we introduce CANDIES, which leverages a conditional diffusion model and contrastive learning to effectively denoise and integrate spatial multi‐omics data. We conduct extensive evaluations on diverse synthetic and real datasets, CANDIES shows superior performance on various downstream tasks, including denoising, spatial domain ...
Ye Liu, Wanpeng Zou, Yuekai Li, Jiayi Wang, Mingxuan Cai, Hongmin Cai   +5 more
wiley   +1 more source

Some fixed point theorems of rational type contraction in b-metric spaces

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U.
Seddik Merdaci, Taieb Hamaizia
doaj   +1 more source

$delta$-Quasi Cauchy Sequences

, 2010
Recently, a concept of forward continuity and a concept of forward compactness are introduced in the senses that a function $f$ is forward continuous if $\lim_{n\to\infty} f(x_{n})=0$ whenever $\lim_{n\to\infty} x_{n}=0$,\; and a subset $E$ of $\textbf{R}$ is forward compact if any sequence $\textbf{x}=(x_{n})$ of points in $E$ has a subsequence ...
openaire   +2 more sources