Results 51 to 60 of about 1,413,634 (303)

Locally Contractive and Expansive Mapping [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
Locally contractive and locally expansive mappings are studied in this paper. A remetrization theorem and some fixed point theorems are proved.
Hu, Thakyin, Rosen, Harvey
openaire   +2 more sources

Forecasting the Dialysis Burden in Japan: Validation‐Based Projections of Prevalence and Incidence Through 2050

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin   +2 more
wiley   +1 more source

Fixed Point Results for Almost Contraction Mappings in Fuzzy Metric Space

open access: yesمجلة بغداد للعلوم
In certain mathematical, computing, economic, and modeling issues, the presence of a solution to a theoretical or real-world problem is synonymous with the presence of a fixed point (Fp) for an appropriate mapping.
Raghad I. Sabri   +1 more
doaj   +1 more source

Fixed Points Results in G-Metric Spaces

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2019
  In this paper, the concept of contraction mapping on a -metric space is extended with a consideration on local contraction.  As a result, two fixed point theorems were proved for contraction on a closed ball in a complete -metric space.
Salwa Salman Abed, Anaam Neamah Faraj
doaj   +1 more source

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

A contraction-mapping proof of Koenigs’ theorem

open access: yes, 2014
We give a simple, functional analytic proof of Koenigs’ theorem on the linearisation of a complex analytic function in a neighbourhood of a hyperbolic fixed point.
Mestel, Benjamin D.
core   +1 more source

S-Pata-type contraction: a new approach to fixed-point theory with an application

open access: yesJournal of Inequalities and Applications
In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space.
Deep Chand   +4 more
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure   +3 more
wiley   +1 more source

Another Proof of the Contraction Mapping Principle

open access: yes, 1968
In a recent note of Kolodner [2], the Cantor Intersection Theorem is used to give an alternative proof of the well known Contraction Mapping Principle. Kolodner applied Cantor's theorem first to a bounded metric space and then reduced the general case to
D.W. Boyd, J. S. W. Wong
core   +1 more source

Liver organoids: modelling complexity in homeostasis and disease

open access: yesFEBS Letters, EarlyView.
Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley   +1 more source

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