Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces

DOI10.1006/jmaa.1999.6415zbMath0946.47007OpenAlexW2026334538MaRDI QIDQ1304676

Chuanzhi Bai

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6415

zbMATH Keywords

iteration method\(K\)-positive definite operatorseparable uniformly smooth Banach space

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operators on Banach algebras (47B48) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

NEARNESS, ACCRETIVITY, AND THE SOLVABILITY OF NONLINEAR EQUATIONS ⋮ Implicit approximation scheme for the solution of \(K\)-positive definite operator equation

Cites Work

• Approximation of a solution for a \(K\)-positive definite operator equation
• Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Existence, uniqueness and approximation of a solution for a k-positive definite operator equation