The equivalence between the convergence of Ishikawa and Mann iterations with errors for strongly successively pseudocontractive mappings without Lipschitzian assumption
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Publication:854074
DOI10.1016/j.jmaa.2006.02.010zbMath1101.47038OpenAlexW1984960297MaRDI QIDQ854074
Publication date: 7 December 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.010
modified Ishikawa iteration with errorsmodified Mann iteration with errorsstrongly successively pseoudocontractive mappings
Related Items (6)
On the convergence of iterative processes for generalized strongly asymptotically \(\phi\)-pseudocontractive mappings in Banach spaces ⋮ On the convergence of Mann and Ishikawa iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings ⋮ A note on implicit and explicit Mann iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings ⋮ The new modified Ishikawa iteration method for the approximate solution of different types of differential equations ⋮ Fixed points by certain iterative schemes with applications ⋮ Equivalence theorems of the convergence between Ishikawa and Mann iterations with errors for generalized strongly successively \(\Phi \)-pseudocontractive mappings without Lipschitzian assumptions
Cites Work
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- Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type
- The solution by iteration of nonlinear equations in uniformly smooth Banach spaces
- The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps.
- Iterative process with errors for fixed points of multivalued \(\Phi\)-hemicontractive operators in uniformly smooth Banach spaces
- Approximating fixed points of \(\Phi\)-hemicontractive mappings by the Ishikawa iteration process with errors in uniformly smooth Banach spaces
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- The equivalence between Mann-Ishikawa iterations and multistep iteration
- Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
- Nonlinear semigroups and evolution equations
- An example on the Mann iteration method for Lipschitz pseudocontractions
- Some problems and results in the study of nonlinear analysis
- Fixed Points by a New Iteration Method
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- Mean Value Methods in Iteration
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