Steepest descent approximations for accretive operator equations
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Publication:4861557
DOI10.1016/0362-546X(94)00282-MzbMath0941.47039OpenAlexW1996887680MaRDI QIDQ4861557
Publication date: 7 August 2000
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)00282-m
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)
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Cites Work
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- The iterative solution of the equation \(f\in x+Tx\) for a monotone operator T in \(L^ p\) spaces
- Monotone (nonlinear) operators in Hilbert space
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- 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
- Geometry of Banach spaces. Selected topics
- On the range of accretive operators
- Zeros of accretive operators
- Iterative solution of nonlinear equations with strongly accretive operators
- Construction of fixed points of nonlinear mappings in Hilbert space
- Nonlinear semigroups and evolution equations
- Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
- Iterative construction of fixed points of strictly pseudocontractive mappings
- Iterative solution of nonlinear equations of the monotone type in Banach spaces
- Asymptotic behaviour of the solutions of second order difference equations associated to monotone operators
- Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings
- Constructing zeros of accretive operators II
- Global iteration schemes for monotone operators
- Ishikawa and Mann iteration methods for nonlinear strongly accretive mappings
- Approximating Fixed Points of Nonexpansive Mappings
- Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
- Monotone Operators and the Proximal Point Algorithm
- An iterative procedure for constructing zeros of accretive sets in Banach spaces
- Approximation of Fixed Points of Strongly Pseudocontractive Mappings
- On a Theorem of C. E. Chidume Concerning the Iterative Approximation of Fixed Points
- The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space
- The closure of the numerical range contains the spectrum
- NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
- 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
- Remarks on Pseudo-Contractive Mappings
- On the Mann Iterative Process