Results 131 to 140 of about 37,732 (162)

Metric conditions, graphic contractions and weakly Picard operators

Studia Universitatis Babes-Bolyai Matematica
In the paper of S. Park (Almost all about Rus-Hicks-Rhoades maps in quasi-metric spaces, Adv. Theory Nonlinear Anal. Appl., 7(2023), No. 2, 455- 472), the author solves the following problem: Which metric conditions imposed on f imply that f is a graphic
Alexandru-Darius Filip
semanticscholar   +3 more sources

Some Applications of Weakly Picard Operators

Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2007), 2007
In this paper we present some notions and results from the weakly Picard operator theory. Applications to iterates of linear operators are given. Some open problems are also discussed.
I. Rus
semanticscholar   +3 more sources

Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory

Fractional Calculus and Applied Analysis, 2017
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S. Abbas, M. Benchohra, A. Petruşel
semanticscholar   +3 more sources

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 \[ y(t)\in \int^b_a K(t,s,y(s))\,ds+ g(t) \]
I. Rus, A. Petruşel, A. Sîntămărian
semanticscholar   +2 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

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