Approximation of a solution for a \(K\)-positive definite operator equation

DOI10.1006/jmaa.1997.5321zbMath0901.47002OpenAlexW2057221753MaRDI QIDQ1359646

O. Diekmann

Publication date: 16 November 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5321

zbMATH Keywords

iterative methodoperator equation\(K\)-positive definite operator

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

NEARNESS, ACCRETIVITY, AND THE SOLVABILITY OF NONLINEAR EQUATIONS ⋮ Strong convergence of approximants to fixed points of Lipschitzian pseudocontractive maps ⋮ Convergence theorems for asymptotically pseudocontractive mappings ⋮ Implicit approximation scheme for the solution of \(K\)-positive definite operator equation ⋮ Steepest descent method for equilibrium points of nonlinear systems with accretive operators ⋮ Iterative approximation of solutions of nonlinear equations of Hammerstein type ⋮ Global iterative schemes for accretive operators ⋮ Approximation of solutions of Hammerstein equations with bounded strongly accretive nonlinear operators ⋮ A generalized steepest descent approximation for the zeros of \(m\)-accretive operators ⋮ Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces

Cites Work

• The iterative solution of the equation \(f\in x+Tx\) for a monotone operator T in \(L^ p\) spaces
• Iterative methods for the solution of a linear operator equation in Hilbert space. A survey
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• Inequalities in Banach spaces with applications
• Existence theorems for nonlinear integral equations of Hammerstein type
• Singular Hammerstein equations and maximal monotone operators
• Approximation of Fixed Points of Strongly Pseudocontractive Mappings
• Existence, uniqueness and approximation of a solution for a k-positive definite operator equation
• Some new results about Hammerstein equations