Iterative solution of nonlinear equations of accretive and pseudocontractive types.

DOI10.1016/S0022-247X(03)00252-XzbMath1054.47056OpenAlexW1994405910MaRDI QIDQ1399873

Charles E. Chidume, Habtu Zegeye

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00252-x

zbMATH Keywords

multi-valued mapsduality mapspseudocontractive mapsaccretive maps

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items

Convergence theorems for \(\psi\)-expansive and accretive mappings ⋮ Viscosity projection algorithms for pseudocontractive mappings in Hilbert spaces ⋮ Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces

Cites Work

• On Naimpally and Singh's open questions
• The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Iterative approximation of fixed points of Lipschitz pseudocontractive maps
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Inequalities in Banach spaces with applications
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Fixed point iteration for pseudocontractive maps
• Fixed Points by a New Iteration Method
• NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
• Mean Value Methods in Iteration
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item