Search
Search Results
-
Quasi-contraction operators with common fixed point results and applications to stability, well-posedness Ostrowski property
The purpose of this paper is to present some common fixed point results for two quasi-contraction operators in complete metric space which provide a...
-
Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
The objective of this article is to introduce function weighted L - R -complete dislocated quasi-metric spaces and to present fixed point results...
-
Fixed point theorems for generalized \((\alpha ,\psi )\)-contraction map**s in rectangular quasi b-metric spaces
In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric...
-
-
A robust alternative to examine data dependency of fixed points of quasi-contractive operators: an efficient approach that relies on the collage theorem
Usurelu et al. (Int J Comput Math 98:1049–1068, 2021) presented stability and data dependence results for a TTP (Thakur–Thakur–Postolache) iteration...
-
Nonlinear contraction in b-suprametric spaces
We introduce the concept of b -suprametric spaces and establish a fixed point result for map**s satisfying a nonlinear contraction in such spaces....
-
Higher-Order Finite Element Methods for the Nonlinear Helmholtz Equation
In this work, we analyze the finite element method with arbitrary but fixed polynomial degree for the nonlinear Helmholtz equation with impedance...
-
Nonlinear Schrödinger Equation with Delay and Its Regularization
AbstractThe properties of an initial-boundary value problem for a nonlinear Schödinger equation including terms with a delay of the time argument in...
-
-
A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems
In this article, we design and analyze a hybrid high-order (HHO) finite element approximation for a class of strongly nonlinear boundary value...
-
An efficient numerical algorithm for solving nonlinear Volterra integral equations in the reproducing kernel space
The main purpose of this paper is to approximate the solution of the nonlinear Volterra integral equation numerically in the reproducing kernel...
-
Nonlinear parabolic evolution equations in critical spaces
As we have seen in the preceding sections, in the context of inhomogeneous linear evolution equations, maximal regularity enables one to set up an...
-
Deep-HyROMnet: A Deep Learning-Based Operator Approximation for Hyper-Reduction of Nonlinear Parametrized PDEs
To speed-up the solution of parametrized differential problems, reduced order models (ROMs) have been developed over the years, including...
-
A theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability
In this article, we study the solvability properties of some nonlinear Hadamard type nonlocal turbulent flow models in porous medium involving the p -L...
-
On the Blow-Up of the Solution of a Nonlinear System of Equations of a Thermal-Electrical Model
AbstractIn this paper, we propose a system of nonlinear equations for the electric field potential and temperature, which describes the process of...
-
The Carleman Contraction Map** Method for Quasilinear Elliptic Equations with Over-determined Boundary Data
We propose a globally convergent numerical method to compute solutions to a general class of quasi-linear PDEs with both Neumann and Dirichlet...
