Results 71 to 80 of about 1,010,486 (283)

The Ran-Reurings fixed point theorem without partial order: a simple proof

, 2014
The purpose of this note is to generalize the celebrated Ran and Reurings fixed point theorem to the setting of a space with a binary relation that is only transitive (and not necessarily a partial order) and a relation-complete metric.
Ben-El-Mechaiekh, Hichem
core   +1 more source

A Multi‐Center Retrospective Cohort Study of Neurosarcoidosis Myelitis: Current Observations and Future Directions

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The optimal treatment for neurosarcoidosis myelitis is uncertain. We characterize incident neurosarcoidosis myelitis and assess treatment response by MRI and clinical scales. Methods Incident probable or definite neurosarcoidosis myelitis in adults was retrospectively identified from 13 academic medical centers.
Giovanna S. Manzano, Denis Balaban, Yihan Zhang, Brian Healy, Bart K. Chwalisz, Michael Levy, Nagagopal Venna, Barney J. Stern, Carlos A. Pardo, Paula Barreras, Nicole Bou Rjeily, Eoin P. Flanagan, Vyanka Redenbaugh, Allen J. Aksamit Jr., Spencer Hutto, Max Herman, Sally El Sammak, Elsa C. Rodriguez, Laura Snider, Hannah Rains, Mayra Montalvo, Torge Rempe, Sergi Martinez Ramirez, Lucas Horta, Stacey Clardy, Jennifer Lord, Tracey A. Cho, Lama Abdel Wahed, Joseph R. Berger, Rohini D. Samudralwar, Noellie Rivera Torres, David B. Clifford, Steven Richard Dunham, Masoud Majed, Aram Zabeti, Samuel Marcucci, Yang Mao‐Draayer, Jon Doty, Paunel B. Agyei, Shamik Bhattacharyya   +39 more
wiley   +1 more source

Solving Fractional Differential Equations via New Relation-Theoretic Fuzzy Fixed Point Theorems

Mathematics
In this paper, we present the notion of fuzzy R−F−contractive mappings and provide some fuzzy fixed point results in the setting of fuzzy metric spaces, which are endowed with binary relations.
Waleed M. Alfaqih, Salvatore Sessa, Hayel N. Saleh, Mohammad Imdad   +3 more
doaj   +1 more source

The Impact of Tilburg Frailty on Poststroke Fatigue in First‐Ever Stroke Patients: A Cross‐Sectional Study With Unified Measurement Tools and Improved Statistics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Poststroke fatigue (PSF) and frailty share substantial overlap in their manifestations, yet previous research has yielded conflicting results due to the use of heterogeneous frailty assessment tools. Objective To evaluate the independent impact of frailty on PSF using a unified measurement system (Tilburg Frailty Indicator, TFI ...
Chuan‐Bang Chen, Xiao‐Xue Wang, Shao‐Rui Bao, Sui‐Li Lin, Mei‐Chun Shu, Xi‐Xi Ye, Wen‐Jie Cong   +6 more
wiley   +1 more source

Impact of APOE ε4 Genotype Load on Cognitive Function and Lipid Metabolism in Patients With Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin, Haocheng Yang, Feng Liu, Sihao Lin, Junru Hu, Jian Wang, Yulan Gou   +6 more
wiley   +1 more source

Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions [PDF]

We present new sufficient conditions for the existence of a continuous utility function for an arbitrary binary relation on a topological space. Such conditions are basically obtained by using both the concept of a weakly continuous binary relation on a ...
Bosi, Gianni, Caterino, Alessandro, Ceppitelli, Rita   +2 more
core   +1 more source

Longitudinal Relationship Between Pain and Depression in People With Inflammatory Arthritis: A Narrative Review

Arthritis Care &Research, EarlyView.
As many patients with inflammatory arthritis (IA) have chronic pain, understanding how to best assess and manage pain in IA is a priority. Comorbid depression is prevalent in adults with IA, affecting 15% to 39% of people. Although pain and depression are thought to be associated in IA, this concept is largely based on cross‐sectional data.
Natasha Cox, Saeed Farooq, Helen Twohig, Ian C. Scott   +3 more
wiley   +1 more source

Relation-Theoretic Boyd–Wong Contractions of Pant Type with an Application to Boundary Value Problems

Mathematics
Non-unique fixed-point theorems play a pivotal role in the mathematical modeling to solve certain typical equations, which admit more than one solution. In such situations, traditional outcomes fail due to uniqueness of fixed points.
Doaa Filali, Faizan Ahmad Khan
doaj   +1 more source

Proportion of Acceptable Symptom State Nearly Tripled With Improvements in Patient‐Reported Outcomes for All Symptom State Subgroups: A Registry Study of More Than 15,000 Patients With Osteoarthritis in Digital Education and Exercise Therapy

Arthritis Care &Research, EarlyView.
Objective This study investigated trajectories of patient acceptable symptom state (PASS) among participants of digital education and exercise therapy for knee and hip osteoarthritis. Methods A longitudinal observational study among individuals aged at least 40 years who participated in the digital program.
Ali Kiadaliri, L. Stefan Lohmander, Amanda E. Nelson, Leif E. Dahlberg   +3 more
wiley   +1 more source

On the existence of maximal elements: An impossibility theorem [PDF]

Most properties of binary relations considered in the decision literature can be expressed as the impossibility of certain ``configurations.'' There exists no condition of this form which would hold for a binary relation on a subset of a finite ...
Nikolai S Kukushkin
core