Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings
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Publication:2458529
DOI10.1016/j.camwa.2006.02.012zbMath1138.47049OpenAlexW1994500787MaRDI QIDQ2458529
Sornsak Thianwan, Suthep Suantai
Publication date: 1 November 2007
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.012
Opial's conditionuniformly convex Banach spaceuniformly convexcondition (A)completely continuousnonexpansive nonself-mapping
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
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On the convergence of an iteration method for continuous mappings on an arbitrary interval ⋮ New iterations for approximation of common fixed points of two asymptotically nonexpansive nonself-mappings
Cites Work
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- A note on approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- New approximation schemes for general variational inequalities
- Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
- Approximating fixed points of non-self nonexpansive mappings in Banach spaces
- Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
- Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings
- Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
- Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
- Fixed Points by a New Iteration Method
- Semicontractive and semiaccretive nonlinear mappings in Banach spaces
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Mean Value Methods in Iteration