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

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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