Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings
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Authors
David Ariza-Ruiz
- Department of Mathematical Analysis, University of Seville, Apdo,1160, 41080-Seville, Spain.
Abstract
Motivated by Dotson's example we consider a certain class of mappings which includes the classes of mappings studied by Zamfirescu, Ćirić, Berinde and others. We prove several new results about convergence
of distinct iterative processes in convex metric spaces. Furthermore, we study the stability for this class of
mappings in the setting of metric spaces.
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ISRP Style
David Ariza-Ruiz, Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 2, 93--103
AMA Style
Ariza-Ruiz David, Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings. J. Nonlinear Sci. Appl. (2012); 5(2):93--103
Chicago/Turabian Style
Ariza-Ruiz, David. "Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings." Journal of Nonlinear Sciences and Applications, 5, no. 2 (2012): 93--103
Keywords
- Convex metric spaces
- Contractive conditions
- quasinonexpansive maps
- Convergence
- Iterative processes
- almost T-stability.
MSC
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