Results 91 to 100 of about 1,757,856 (287)

Existence of common fixed points for linear combinations of contractive maps in enhanced probabilistic metric spaces

Nonlinear Analysis, 2019
In this paper, we introduce the concept of enhanced probabilistic metric space (briefly EPM-space) as a type of probabilistic metric space. Also, we investigate the existence of fixed points for a (finite or infinite) linear combination of different ...
Jafari Jafari, Maryam Shams, Asier Ibeas, Manuel De La Sen   +3 more
doaj   +1 more source

Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]

, 2012
We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin, Sun, Yuhua, Kenneth J. Falconer, Falconer, Kenneth John, Jiaxin Hu, Yuhua Sun   +5 more
core   +1 more source

Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay, Merve Alaylioglu, Erdi Sahin, Sanem Sultan Yoruk Oner, Gulce Iskan, Gulce Cosku Yilmaz Cakan, Gozde Kizilates‐Evin, Emre Hari, Elif Kurt, Erdinc Dursun, Basar Bilgic, Hasmet Hanagasi, Hakan Gurvit, Tamer Demiralp, Duygu Gezen‐Ak, Bedia Samanci   +15 more
wiley   +1 more source

partial translation algebras for certain discrete metric spaces

, 2010
The notion of a partial translation algebra was introduced by Brodzki, Nibloand Wright in [11] to provide an analogue of the reduced group C*-algebrafor metric spaces.
Putwain, Rosemary Johanna
core   +1 more source

A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES

Journal of Nonlinear Sciences and Applications, 2008
Summary: We consider complete Menger probabilistic quasimetric spaces and prove a common fixed point theorem for commuting maps in these spaces.
openaire   +2 more sources

Probabilistic metric spaces

, 2004
This is a presentation without proofs of the key facts about the topology of Probabilistic Metric spaces, Probabilistic Normed spaces and Probabilistic Inner Product ...
SEMPI, Carlo
core  

Anti‐CD20 Discontinuation Versus Continuation in People Aged Over 50 With Non‐Active Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether discontinuing anti‐CD20 therapy in people with relapsing‐onset MS aged over 50 is associated with an increased risk of relapse, inflammatory activity, confirmed disability accrual, and serious infection compared with continuing therapy.
Alexia Moukhine, Fabien Rollot, Romain Casey, Nicolas Collongues, Sandra Vukusic, Guillaume Mathey, Anne Laure Dubessy, Jonathan Ciron, Jérôme De Seze, Aurélie Ruet, Pierre Labauge, Arnaud Kwiatkowski, Hélène Zephir, Caroline Papeix, Gilles Defer, Christine Lebrun‐Frenay, David Axel Laplaud, Eric Berger, Eric Thouvenot, Jean Pelletier, Abdullatif Al Khedr, Olivier Casez, Bertrand Bourre, Abir Wahab, Laurent Magy, Jean‐Philippe Camdessanché, Ines Doghri, Solène Moulin, Mariana Sarov Rivière, Karolina Hankiewicz, Amélie Dos Santos, Corinne Pottier, Eric Manchon, Jennifer Aboab, Maia Tchikviladze, Thomas David, Gilles Edan, Emmanuelle Le Page, Laure Michel, Anne Kerbrat, OFSEP Investigators   +40 more
wiley   +1 more source

The complexity probabilistic quasi-metric space

Journal of Mathematical Analysis and Applications, 2011
The authors acknowledge the support of the Spanish Ministry of Science and Innovation under grant MTM2009-12872-C02-01.
Romaguera Bonilla, Salvador, Tirado Peláez, Pedro   +1 more
openaire   +3 more sources

Geodesics in Asymmetric Metric Spaces [PDF]

, 2014
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces”
Mennucci Andrea C. G., MENNUCCI, Andrea Carlo Giuseppe   +1 more
core   +1 more source

Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad, Pouya Metanat, Michael Thomas, Luke W. Bonham, Tyson Lam, Mehmet Kurt, Hong Nguyen, Tara Ellingson, Mauro Zucchelli, Stefano Casagranda, Quin Lu, Andreas M. Rauschecker, Leo Sugrue, Luis E. Savastano, Christopher P. Hess, Kamalini Ranasinghe, S. Andrew Josephson, Bruce L. Miller, Jennifer S. Yokoyama, Gil D. Rabinovici, Peter A. Ljubenkov, Lawren VandeVrede, Kambiz Nael   +22 more
wiley   +1 more source