A one-step-two-mappings iterative scheme for multi-valued maps in W-hyperbolic spaces

In this paper, we study a one-step iterative scheme for two multi-valued nonexpansive maps in W-hyperbolic spaces. We establish strong and ?-convergence theorems for the proposed algorithm in a uniformly convex W-hyperbolic space which improve and extend the corresponding known results in uniformly...

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Veröffentlicht in:Filomat 2018, Vol.32 (4), p.1403-1411
Hauptverfasser: Gunduz, Birol, Akbulut, Sezgin
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we study a one-step iterative scheme for two multi-valued nonexpansive maps in W-hyperbolic spaces. We establish strong and ?-convergence theorems for the proposed algorithm in a uniformly convex W-hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces as well as CAT(0) spaces. Our new results are also valid in geodesic spaces. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1804403G