Results 31 to 40 of about 4,516,797 (266)

Stability of Quadratic Functional Equations via the Fixed Point and Direct Method

open access: yesJournal of Inequalities and Applications, 2010
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via ...
Juri Lee, Eunyoung Son, Hark-Mahn Kim
doaj   +2 more sources

On the stability of generalized d′Alembert and Jensen functional equations [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The aim of this paper is to study the stability problem of the generalized d′Alembert, Wilson, and Jensen functional equations.
Kyung Hui Kim, Sever Silvestru Dragomir
openaire   +2 more sources

Hyperstability of Cauchy–Jensen functional equations

open access: yesIndagationes Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EL-Fassi, Iz-iddine   +2 more
openaire   +1 more source

A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus

open access: yesFixed Point Theory and Applications, 2008
Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x+1)=(
John Michael Rassias, Soon-Mo Jung
doaj   +2 more sources

On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation

open access: yesAbstract and Applied Analysis, 2013
We take into account the stability of ring homomorphism and ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation.
Jaiok Roh, Ick-Soon Chang
doaj   +1 more source

Practical Computational Exploration of Chemical Reaction Space: Assessing the Chemical Stability of Active Pharmaceutical Ingredients Under Acidic Conditions

open access: yesAngewandte Chemie, EarlyView.
Metadynamics simulations drive automated reaction exploration of acid‐catalysed drug degradation, generating a network spanning 1720 species and 2471 elementary steps. QM‐based filtering reduces the network to eight candidate pathways for rigorous DFT refinement and microkinetic modelling.
Julius Seumer   +5 more
wiley   +2 more sources

Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces

open access: yes, 2020
In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation in 2-Banach spaces by using Brzdȩk’s fixed point approach ...
Naif Sayar, Khaled Yahya, Bergam, Amal
core   +1 more source

Fuzzy Stability of Jensen‐Type Quadratic Functional Equations [PDF]

open access: yesAbstract and Applied Analysis, 2009
We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.
Jang, Sun-Young   +3 more
openaire   +3 more sources

Approximate multi-Jensen-cubic mappings and a fixed point theorem

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020
In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation.
Elahe Ramzanpour, Abasalt Bodaghi
doaj  

Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane   +10 more
wiley   +1 more source

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