An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces

DOI10.1155/2008/350483zbMath1172.47058OpenAlexW2163977381WikidataQ59218070 ScholiaQ59218070MaRDI QIDQ949049

Baohua Guo, Lanxiang Yu, Sheng-Hua Wang

Publication date: 16 October 2008

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55954

zbMATH Keywords

variational inequalityreflexive Banach spacecommon fixed pointasymptotically nonexpansive mappingsimplicit iterative schemeweakly continuous dual map

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
• Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• Fixed point theorems for asymptotically nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings