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    Aprroximation of Endpoints for Generalized α-Nonexpansive Multivalued Mappings in Hyperbolic Spaces
    (Association of Mathematicians (MATDER), 2024) Özekes, Makbule Kaplan
    In 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.
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    The New Iterative Approximating of Endpoints of Multivalued Nonexpansive Mappings in Banach Spaces
    (Emrah Evren KARA, 2022) Özekes, Makbule Kaplan
    The purpose of this paper is to introduce a modified iteration process to approximate endpoints of multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems of proposed iterative scheme under some suitable assumptions in the framework of a uniformly convex Banach space. © 2022, Emrah Evren KARA. All rights reserved.