Özekes, Makbule Kaplan2025-03-232025-03-2320242148-1830https://doi.org/10.47000/tjmcs.1261727https://search.trdizin.gov.tr/tr/yayin/detay/1247268https://hdl.handle.net/11486/4362In this paper, we establish that the sequence of the new iteration converges to endpoints of generalized α-nonexpansive multivalued mappings in 2-uniformly convex hyperbolic space. We present some strong and ∆-convergence theorems for such operator in a hyperbolic metric space. The results presented in this paper extend and improve some recent results in the literature. © MatDer.eninfo:eu-repo/semantics/closedAccessGeneralized α-nonexpansive mapingshyperbolic spacemultivalued map- pingsstrong and ∆-convergenceArticle161212710.47000/tjmcs.12617272-s2.0-85202542145N/A1247268