Results 151 to 160 of about 756,869 (169)

Data dependence of the fixed point set of some multivalued weakly Picard operators

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors study the continuous dependence of the fixed point set of multivalued so-called weakly Picard operators on data, as well as of \(R\)-operators in the sense of \textit{S. Reich} [Boll. Unione Mat. Ital., IV. Ser. 4, 1--11 (1971; Zbl 0219.54042)]. An application to the Uryson type integral inclusion \[ y(t)\in \int^b_a K(t,s,y(s))\,ds+ g(t) \]
Adrian Petrusel, Ioan A Rus, Alina Sı̂Ntămărian   +2 more
exaly   +2 more sources

Ulam Stability for Hilfer Type Fractional Differential Inclusions Via the Weakly Picard Operators Theory

Fractional Calculus and Applied Analysis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbas Said, Adrian Petrusel, Mouffak Benchohra   +2 more
exaly   +3 more sources

Multivalued Nonlinear Weakly Picard Operators in Metric Spaces

2022
Progress in Applied Science and Technology, 12, 3, 1 ...
openaire   +1 more source

Introduction to Halanay Lemma, via Weakly Picard Operator Theory

2020
In this paper, we present an introduction to Halanay lemma, from the weakly Picard operator theory point of view.
A. Petruşel, I. A. Rus
openaire   +1 more source

Metric conditions, graphic contractions and weakly Picard operators

Studia Universitatis Babes-Bolyai Matematica
In the paper of S. Park (\emph{Almost all about Rus-Hicks-Rhoades maps in quasi-metric spaces}, Adv. Theory Nonlinear Anal. Appl., {\bf 7}(2023), No. 2, 455-472), the author solves the following problem: \emph{Which metric conditions imposed on \(f\) imply that \(f\) is a graphic contraction?}In this paper we study the following problem: \emph{Which ...
openaire   +2 more sources

Ulam-Hyers stability of singular integral equations, via weakly Picard operators

Fixed Point Theory, 2016
In this paper we investigate the Ulam-Hyers stability of several integral equations with singularity. First we give some results concerning the Ulam-Hyers stability of integral equations with weak singularities. Our approach is also suitable for studying some fractional di erential equations.
Andras, Szilard, Baricz, Arpad, Poganj, Tibor   +2 more
openaire   +2 more sources

Data dependence for some integral equation via weakly Picard operators

2004
Summary: In this paper we study data dependence for the following integral equation: \[ u(x)=h(x,u(a))+\int^{x_1}_{a_1}\dots\int^{x_m}_{a_m}K(x,s,u(s))ds,x\in\prod^m_{i=1}[a_i,b_i] \] by using \(c\)-WPOs.
openaire   +2 more sources

Uniqueness theorems of the Hahn difference operator of entire function with a Picard exceptional value

Open Mathematics, 2023
Zhaojun Wu
exaly  

A functional-integral equation via weakly Picard operators

2009
M. Dobriţoiu, A-M. Dobriţoiu
openaire   +1 more source

Operator split, Picard iteration and JFNK methods based on nonlinear CMFD for transient full core models in the coupling multiphysics environment

Annals of Nuclear Energy, 2023
Xiafeng Zhou
exaly