Results 11 to 20 of about 342 (218)

Lower semi-continuous regularization of mappings in partially ordered by cone normed spaces

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
The scheme of the lower semi-continuous regularization of mappings in normed spaces is proposed. We make no assumptions on the interior of the ordering cone.
A. V. Dovzhenko
doaj   +1 more source

Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations

Abstract and Applied Analysis, 2014
Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces.
H. M. Srivastava, Sachin V. Bedre, S. M. Khairnar, B. S. Desale   +3 more
doaj   +1 more source

The Order Continuity of the Regular Norm on Regular Operator Spaces [PDF]

Abstract and Applied Analysis, 2013
Summary: We present here some sufficient conditions for the regular norm on \(\mathcal L^r(E,F)\) to be order continuous, and for \((\mathcal L^r(E,F),\|\cdot\|_r)\) to be a KB-space. In particular, we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular operators.
Chen, Zi Li, Feng, Ying, Chen, Jin Xi
openaire   +4 more sources

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Axioms
Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj   +1 more source

On Partial Orderings of Normed Spaces.

MATHEMATICA SCANDINAVICA, 1968
Some ways in which an arbitrary normed space can be partially ordered so that the norm, or at least the topology, is determined by the ordering are discussed. The orderings which are discussed induce either an order unit norm topology or a base norm topology or both, and in this connection vertices and special vertices of unit balls of normed spaces ...
openaire   +3 more sources

Intelligent Tutoring Systems for Adult Learning in STEM Disciplines

New Directions for Adult and Continuing Education, EarlyView.
ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley   +1 more source

Self‐Regulated Learning Meets AI: Reinterpreting Self‐Regulation, Co‐Regulation, and Socially Shared Regulation in Human–AI Interaction

New Directions for Adult and Continuing Education, EarlyView.
ABSTRACT Advancing artificial intelligence (AI) has transformed learning and work, yet higher education and professional development programs have not systematically equipped learners for AI‐prevalent environments. This lack of preparation creates uncertainty regarding control, responsibility, trust, and accountability.
Moon‐Heum Cho, Jerusalem Merkebu
wiley   +1 more source

Dhage Iteration Method for Generalized Quadratic Functional Integral Equations

International Journal of Analysis and Applications, 2015
In this paper we prove the existence as well as approximations of the solutions for a certain nonlinear generalized quadratic functional integral equation.
Bapurao C. Dhage
doaj   +2 more sources

Order Norm Completions of Cone Metric Spaces

Numerical Functional Analysis and Optimization, 2011
In this article, a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed.
openaire   +3 more sources

Advancing Age Modulates Associations Between Cognitive Impairment and Brain Volumes in Early MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Introduction Cognitive impairment is common in multiple sclerosis (MS), but manifestations following the first demyelinating event are relatively unexplored. We investigated cross‐sectional associations between magnetic resonance imaging (MRI)–derived brain volumes and the presence of cognitive impairment outcomes five years after the first ...
Piriyankan Ananthavarathan, Marco Pitteri, Michael Foster, Sara Collorone, Sara Salama, Elisa Colato, Ferran Prados, Baris Kanber, Marios Yiannakas, Claudia A. M. Gandini Wheeler‐Kingshott, Indran Davagnanam, Frederik Barkhof, Declan Chard, Olga Ciccarelli, Ahmed Toosy   +14 more
wiley   +1 more source