Approximation of Fixed Points of Strongly Pseudocontractive Mappings
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Publication:4286413
DOI10.2307/2159893zbMath0802.47058OpenAlexW4232512809MaRDI QIDQ4286413
Publication date: 15 December 1994
Full work available at URL: https://doi.org/10.2307/2159893
Ishikawa iteration schemeBanach space with a uniformly convex dualcontinuous strongly pseudocontractive mappingLipschitzian and strongly pseudocontractive mapping
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Cites Work
- Unnamed Item
- A fixed point theorem for local pseudo-contractions in uniformly convex spaces
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Comments on two fixed point iteration methods
- On the Mann iteration process in a Hilbert space
- Zeros of accretive operators
- Construction of fixed points of nonlinear mappings in Hilbert space
- Nonlinear semigroups and evolution equations
- Fixed point theorems for set-valued mappings of contractive type
- The solvability of non-linear functional equations
- Iterative solution of nonlinear equations of the monotone type in Banach spaces
- Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings
- Constructing zeros of accretive operators II
- On the Approximation of Fixed Points of Locally Nonexpansive Mappings
- 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
- Fixed Points by a New Iteration Method
- NONLINEAR MONOTONE AND 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
- Fixed Point Theorems for Lipschitzian Pseudo-Contractive Mappings
- Mean Value Methods in Iteration
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