Implicit iteration process for a finite family of asymptotically hemi-contractive mappings in Banach spaces

DOI10.1016/j.na.2006.03.004zbMath1129.47052OpenAlexW2095531592MaRDI QIDQ876916

Jui-Chi Huang

Publication date: 19 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.004

zbMATH Keywords

strong convergencecommon fixed pointimplicit iteration process\(p\)-uniformly convex Banach spacesasymptotically hemi-contractive map

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Some convergence theorems for contractive type mappings in \(CAT(0)\) spaces

Cites Work

• Convergence theorems for asymptotically pseudocontractive mappings
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Common fixed points of a finite family of asymptotically pseudocontractive maps
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Inequalities in Banach spaces with applications
• On a Theorem of C. E. Chidume Concerning the Iterative Approximation of Fixed Points
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings