Contractive maps on normed linear spaces and their applications to nonlinear matrix equations

DOI10.1016/j.laa.2006.02.005zbMath1104.15013OpenAlexW2083824861MaRDI QIDQ852653

Martine C. B. Reurings

Publication date: 15 November 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.02.005

zbMATH Keywords

normed linear spacefixed point theoremnonlinear matrix equationscontractions on cones

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Matrix equations and identities (15A24) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered normed spaces (46B40)

Related Items (16)

Solving a class of nonlinear matrix equations via the coupled fixed point theorem ⋮ Positive definite solutions of the matrix equations ⋮ Solving system of nonlinear matrix equations over Hermitian positive definite matrices ⋮ Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations ⋮ On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\) ⋮ On positive definite solutions of nonlinear matrix equation \(X^s-A^{*}X^{-t}A=Q\) ⋮ Some fixed point results without monotone property in partially ordered metric-like spaces ⋮ The investigation on two kinds of nonlinear matrix equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solution of a class of nonlinear matrix equations ⋮ The positive definite solution to a nonlinear matrix equation ⋮ A note on fixed point results without monotone property in partially ordered metric space ⋮ Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\) ⋮ Notes on the Hermitian positive definite solutions of a matrix equation ⋮ A fixed point theorem for monotone maps and its applications to nonlinear matrix equations

Cites Work

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