Results 61 to 70 of about 49,827 (258)

On coincidence points of generalized contractive pair mappings in convex metric spaces [PDF]

Journal of Hyperstructures, 2015
We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.
Moohammad Moosaei, Azizollah Azizi
doaj   +1 more source

Artificial Intelligence and Mental Well‐Being in Adult Education: Implications for Practice and Professional Responsibility

New Directions for Adult and Continuing Education, EarlyView.
ABSTRACT Mental well‐being is central to adult learner success, yet many adult education institutions lack capacity to provide timely and accessible support. This article examines how artificial intelligence (AI) can strengthen mental health–adjacent supports in adult and continuing higher education, with attention to professional practice and ...
Adam L. McClain, Thomas Wade
wiley   +1 more source

Super‐Refractory Status Epilepticus (SRSE) in a Patient With Compound Heterozygous OPA1 Variants: Case Report and Literature Review

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Super‐Refractory Status Epilepticus (SRSE) is a rare, life‐threatening neurological emergency with unclear etiology in many cases. Mitochondrial dysfunction, often due to disease‐causing genetic variants, is increasingly recognized as a cause, with each gene producing distinct pathophysiological mechanisms.
Pouria Mohammadi, Lara Basovic, Christopher Michael McGraw   +2 more
wiley   +1 more source

Coincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings

International Journal of Mathematics and Mathematical Sciences, 2006
The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalized f-nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space.
A. R. Khan, F. Akbar, N. Sultana, N. Hussain   +3 more
doaj   +1 more source

Innate Immune Reprogramming Mediated by Endogenous Retroelement Dysregulation Drives Multiple Sclerosis Progression

Annals of Clinical and Translational Neurology, EarlyView.
Epigenetic reprogramming in hematopoietic stem and progenitor cells (HSPCs) and downstream myeloid cells, mediated by H3.3 downregulation and endogenous retroelement (ERE) overexpression, contributes to the progression of multiple sclerosis (MS). ABSTRACT Background Skewed myelopoiesis in the bone marrow has been identified as a key driver of multiple ...
Li‐Mei Xiao, Qiu‐Ping Zhao, Run‐Yun Li, Wei Chen, Huan‐Huan Song, Wan‐Jin Chen, Ying Fu   +6 more
wiley   +1 more source

ALDOA Promotes Glycolysis and NLRP3/GSDMD Pyroptosis to Accelerate ALS Progression

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is characterized by progressive motor neuron degeneration. Glycolytic dysregulation is implicated in disease progression, yet the underlying mechanisms remain unclear. This study investigates how Aldolase A (ALDOA) drives ALS progression through glycolysis‐mediated motor neuron pyroptosis.
Kaixin Yan, Yan Jiang, Yuxuan Yong, Tianshuo Zhang, Niannian Zhang, Qianqian Zeng, Xue Gong, Li Meng, Fangfang Bi, Yongmin Liu   +9 more
wiley   +1 more source

Fixed point property and degree of coincidence

Applied General Topology
We introduce the concept of degree of coincidence to measure the divergence from the fixed point property in case a space does not have the FPP.
W. Kulpa, A. Szymanski, M. Turzanski
doaj   +1 more source

Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces

Fixed Point Theory and Applications, 2009
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application,
A. Amini-Harandi, A. P. Farajzadeh, D. O'Regan, R. P. Agarwal   +3 more
doaj   +1 more source

Neurovascular Contacts in the Pathophysiology of Neuralgic Amyotrophy: An Observational Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Neuralgic amyotrophy (NA) is a prevalent, monophasic, multifocal immune‐mediated neuropathy. A distinctive characteristic of the disease is the occurrence of nerve or fascicle constrictions and torsions (NA‐associated focal nerve lesions, NAFL). The pathophysiology underlying this phenomenon remains to be fully elucidated.
Johannes Fabian Holle, Andreas Leha, Volker Limmroth, Wolfram Windisch, Maximilian Zimmermann   +4 more
wiley   +1 more source

COINCIDENCE AND FIXED POINT THEOREMS ON PRODUCT SPACES

Demonstratio Mathematica, 1997
Let \(X_1,X_2, \dots, X_n\) be metric spaces, \(\text{CL} (X_i)\) be the set of nonempty closed subsets of \(X_i\), \(i=1, \dots, n\), and \(H_i\) be the related Hausdorff metric. The authors, inspired by a result of \textit{H. Kaneko} and the reviewer [Int. J. Math. Math. Sci. 12, No. 2, 257-262 (1989; Zbl 0671.54023)] consider two systems of maps \(\{
Gairola, U. C., Mishra, S. N., Singh, S. L.   +2 more
openaire   +1 more source