Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption
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Publication:1378390
DOI10.1006/jmaa.1997.5539zbMath0896.47048OpenAlexW1983090963MaRDI QIDQ1378390
Publication date: 6 October 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1997.5539
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)
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Cites Work
- Unnamed Item
- Unnamed Item
- An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
- Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
- Iterative solution of nonlinear equations with strongly accretive operators
- Nonlinear semigroups and evolution equations
- Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
- Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
- An iterative procedure for constructing zeros of accretive sets in Banach spaces
- On the Convergence of Some Iteration Processes in Uniformly Convex Banach Spaces
- Approximation of Fixed Points of Strongly Pseudocontractive Mappings
- Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces
- A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
- Mean Value Methods in Iteration
