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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 ...
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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   +2 more
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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.
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A note on the modified Picard integral operators

Mathematical Methods in the Applied Sciences, 2021
Didem Aydin Ari
exaly  

Statistical convergence of double-complex Picard integral operators

Applied Mathematics Letters, 2010
George A Anastassiou, Oktay Duman
exaly  

On a general class of multi-valued weakly Picard mappings

Journal of Mathematical Analysis and Applications, 2007
Vasile Berinde
exaly  

Ulam–Hyers stability of dynamic equations on time scales via Picard operators

Applied Mathematics and Computation, 2013
Alpar R Mészáros
exaly  

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