The aim of this paper is to present some sequences of Euler type. We will explore the sequences 
defined by 
for any 
and ![x\in \left[ 0,1\right] ,](https://www.carpathian.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-ef4c88dcdd8a2fe6029ff69987becd85_l3.png "Rendered by QuickLaTeX.com")
where 
is a local integrable and positive function defined on 
. Starting from some particular example we will find that this sequence is uniformly convergent to a constant function. Also, we present a stability result.
Some sequences of Euler type, their convergences and their stability
Marinescu, Dan Ştefan and Monea, Mihai
Full PDF
carpathian_2022_38_2_469_476Additional Information
| Author(s) | Marinescu, Dan Ştefan, Monea, Mihai |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2022.02.16 |
Recently posted
-
Weak and Strong Convergence of Split Douglas-Rachford Algorithms for Monotone Inclusions
-
Fixed point theorems for basic θ-contraction and applications
-
A Fast Forward-Backward Algorithm Using Linesearch and Inertial Techniques for Convex Bi-level Optimization Problems with Applications
-
Convergence of self-adaptive Tseng-type algorithms for split variational inequalities and fixed point problems
-
A fast contraction algorithm using two inertial extrapolations for variational inclusion problem and data classification
-
Periodic cycles for an extension of generalized 3x + 1 functions
-
Some remarks on expansive mappings in metric spaces
-
Asymptotically α hemicontractive mappings in Hilbert spaces and a new algorithm for solving associated split common fixed point problem
-
Extreme solution for fractional differential equation with nonlinear boundary condition
-
Generalized Split Feasibility Problem: Solution by Iteration