Proximal point algorithms involving Cesàro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces

In this paper, we extend the proximal point algorithm proposed by Chang et al.[8] for total asymptotically nonexpansive mapping in CAT(0) spaces. We also demonstrate the ?-convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points...

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Veröffentlicht in:Filomat 2018, Vol.32 (12), p.4165-4176
Hauptverfasser: Kalsoom, Amna, Fukhar-Ud-Din, Hafiz, Najib, Sara
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we extend the proximal point algorithm proposed by Chang et al.[8] for total asymptotically nonexpansive mapping in CAT(0) spaces. We also demonstrate the ?-convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the Ces?ro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1812165K