The solution by iteration of a composed K-positive definite operator equation in a Banach space

DOI10.1155/2010/376852zbMath1228.47040OpenAlexW2077725024WikidataQ58651758 ScholiaQ58651758MaRDI QIDQ1958074

S. J. Aneke

Publication date: 28 September 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230392

zbMATH Keywords

operator equationsinverse function theorem\(K\)-positive definite operatorsiterative methods of approximate solving

Mathematics Subject Classification ID

Special classes of linear operators (47B99) Linear accretive operators, dissipative operators, etc. (47B44)

Cites Work

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• Construction of fixed points of nonlinear mappings in Hilbert space
• Nonlinear semigroups and evolution equations
• Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
• A LOCAL APPROXIMATION METHOD FOR THE SOLUTION OF K-POSITIVE DEFINITE OPERATOR EQUATIONS
• Existence, uniqueness and approximation of a solution for a k-positive definite operator equation