Aprroximation of Endpoints for Generalized $\alpha $-Nonexpansive Multivalued Mappings in Hyperbolic Spaces

Year 2024, Volume: 16 Issue: 1, 21 - 27, 30.06.2024

Makbule Kaplan Özekes

https://doi.org/10.47000/tjmcs.1261727

Abstract

In this paper, we establish that the sequence of the new iteration converges to an endpoints of multivalued generalized α-nonexpansive mappings in 2-uniformly convex hyperbolic space. We present some strong and Δ-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.

Keywords

Generalized $\alpha $-nonexpansive mapings, strong and $\Delta $-convergence, hyperbolic space, multivalued mappings

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