A note on a theorem of Xu and Roach

DOI10.1006/jmaa.1998.6070zbMath0927.47037OpenAlexW1991297805MaRDI QIDQ1273701

Hai-Yun Zhou

Publication date: 13 December 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6070

zbMATH Keywords

quasi-accretive operatoruniformly smooth Banach spacesteepest descent approximation process

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

New convergence theorems for certain iterative schemes in Banach spaces ⋮ Convergence of steepest descent approximation for set-valued quasi-accretive mapping equations ⋮ Characteristic conditions for convergence of generalized steepest descent approximation to multivalued accretive operator equations ⋮ A characteristic condition for convergence of steepest descent approximation to accretive operator equations

Cites Work

• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
• Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption
• Approximating the zeros of accretive operators by the Ishikawa iteration process
• Nonlinear semigroups and evolution equations
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Approximation of fixed points of strongly pseudocontractive maps without Lipschitz assumption
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces

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