On iterations for families of asymptotically pseudocontractive mappings
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Publication:607142
DOI10.1016/j.aml.2010.08.005zbMath1215.47084OpenAlexW2057569659MaRDI QIDQ607142
Publication date: 19 November 2010
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2010.08.005
Banach spacesasymptotically pseudocontractive mappingsmodified multistep iterative schemeuniformly \(L\)-Lipschitzian mappingsuniformly continuous mappings
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Strong convergence of a CQ method for \(k\)-strictly asymptotically pseudocontractive mappings ⋮ A three-step iterative scheme for solving nonlinear \(\phi\)-strongly accretive operator equations in Banach spaces ⋮ A further remark to paper `Convergence theorems for the common solution for a finite family of \(\phi\) -strongly accretive operator equations' ⋮ Notes on iterations for families of asymptotically pseudocontractive mappings
Cites Work
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- Some results for uniformly \(L\)-Lipschitzian mappings in Banach spaces
- Fixed points of quasinonexpansive mappings
- Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
- Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
- Inequalities in Banach spaces with applications
- A Comparison of Various Definitions of Contractive Mappings
- Fixed Points by a New Iteration Method
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
- Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.
