WEAK CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR AN ASYMPTOTICALLY QUASI I-NONEXPANSIVE MAPPING IN BANACH SPACES

DOI10.1142/S1793557111000253zbMath1368.47074MaRDI QIDQ3013881

Mansoor Saburov, Farrukh Mukhamedov

Publication date: 19 July 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Banach spacesweak convergencecommon fixed pointasymptotically quasi-nonexpansive mappingimplicit iteration process with errorsasymptotically quasi \(I\)-nonexpansive

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Fixed Point of A New Type Nonself Total Asymptotically Nonexpansive Mappings in Banach Spaces

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Convergence theorem for \(I\)-asymptotically quasi-nonexpansive mapping in Hilbert space
• On the convergence theorems of implicit iteration process for a finite family of \(I\)-asymptotically nonexpansive mappings
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Multivalued Nonexpansive Mappings and Opial's Condition
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• On the structure of the set of subsequential limit points of successive approximations
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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