Strong convergence theorems for accretive operators in Banach spaces

DOI10.1016/0022-247X(90)90351-FzbMath0712.47045OpenAlexW1966888547MaRDI QIDQ748852

Ki Sik Ha, Jong Soo Jung

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90351-f

zbMATH Keywords

nonexpansive retractionBanach space with a uniformly Gâteaux differentiable normnonlinear m-accretive operator

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06)

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Cites Work

• Unnamed Item
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• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Product formulas, nonlinear semigroups, and accretive operators
• Asymptotic behavior of semigroups on nonlinear contractions in Banach spaces
• Extension problems for accretive sets in Banach spaces
• Semi-groups of nonlinear contractions and dissipative sets
• Constructing zeros of accretive operators II
• The Fixed Point Property for Non-Expansive Mappings, II
• Approximating Zeros of Accretive Operators