On iterations for families of asymptotically pseudocontractive mappings

DOI10.1016/j.aml.2010.08.005zbMath1215.47084OpenAlexW2057569659MaRDI QIDQ607142

Arif Rafiq

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

zbMATH Keywords

Banach spacesasymptotically pseudocontractive mappingsmodified multistep iterative schemeuniformly \(L\)-Lipschitzian mappingsuniformly continuous mappings

Mathematics Subject Classification ID

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

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• 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.