Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators
type: Item
instance of: scholarly article
title: Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators
author: H. A. Hammad
author: Mohamed Elmursi
author: R. A. Rashwan
author: Huseyin Isik
published in: Advances in Continuous and Discrete Models
publication date: 2022-12-21T00:00:00Z
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46T99
zbMATH DE Number: 7636098
zbMATH Keywords: rational \(\eta\)-contraction mapping
zbMATH Keywords: fixed point technique
zbMATH Keywords: difference equations
zbMATH Keywords: global attractor
zbMATH Keywords: equilibrium point
Wikidata QID: Q114061231
MaRDI profile type: Publication
full work available at URL: s13662-022-03724-6
OpenAlex ID: W4292258174
cites work: Some generalized fixed point results with applications to dynamic programming
cites work: Optimal solutions and applications to nonlinear matrix and integral equations via simulation function
cites work: Q4978127
cites work: Hilbert’s projective metric and iterated nonlinear maps
cites work: A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS
cites work: Q5344263
cites work: Q5450579
cites work: Q3405392
cites work: Q4605144
cites work: Approximating common fixed points of Presić-Kannan type operators by a multi-step iterative method
cites work: Prešić type results in 2-Banach spaces
cites work: A new generalization of the Banach contraction principle
cites work: A fixed point theorem in partially ordered sets and some applications to matrix equations
cites work: On the nonlinear matrix equation \(X - \sum_{i=1}^{m}A_{i}^{*}X^{\delta _{i}}A_{i} = Q\)
cites work: Ladder networks, fixpoints, and the geometric mean
cites work: On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)
cites work: Functional calculus for sesquilinear forms and the purification map
cites work: On Direct Methods for Solving Poisson’s Equations
cites work: Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems
cites work: On Certain Contraction Mappings in a Partially Ordered Vector Space
cites work: Solving the nonlinear matrix equation \(X = Q + \sum ^{m}_{i=1}M_{i}X^{\delta _{i}}M^{*}_{i}\) via a contraction principle
DOI: 10.1186/S13662-022-03724-6
description: scientific article; zbMATH DE number 7636098