A relational-theoretic approach to get solution of nonlinear matrix equations
DOI10.1186/s13660-022-02817-wzbMath1506.15015OpenAlexW4282842848MaRDI QIDQ2157775
Reena Jain, Hemant Kumar Nashine, Vahid Parvaneh
Publication date: 22 July 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-022-02817-w
convergence analysisfixed pointbinary relationnonlinear matrix equationpositive definite matrixSuzuki-type contraction
Fixed-point theorems (47H10) Matrix equations and identities (15A24) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unified relation-theoretic metrical fixed point theorems under an implicit contractive condition with an application
- Relation algebras
- Relation-theoretic contraction principle
- Two fixed point theorems for generalized contractions with constants in complete metric space
- On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory
- Abstract comparison principles and multivariable Gronwall-Bellman inequalities
- Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
- Relation theoretic metrical fixed point results for Suzuki type \(\mathcal{Z}_{\mathcal{R}}\)-contraction with an application
- Generalized Wardowski type fixed point theorems via \(\alpha\)-admissible \(FG\)-contractions in \(b\)-metric spaces
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Fixed point theorems in ordered abstract spaces
- Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions
- A generalized Banach contraction principle that characterizes metric completeness
This page was built for publication: A relational-theoretic approach to get solution of nonlinear matrix equations
