A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

Authors : İbrahim KARAHAN, Lateef Olakunle JOLAOSO

Pages : 1031-1050

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Publication Date : 2021-06-01

Article Type : Research Paper

Abstract :In this paper, we prove some fixed point properties and demiclosedness principle for multivalued generalized α-nonexpansive mappings in uniformly convex hyperbolic spaces. We also proposed a three steps iterative scheme for approximating the common fixed points of generalized α-nonexpansive mapping and prove some strong and Δ-convergence theorems for such operator in the setting of uniformly convex hyperbolic space. We provide a numerical example to show that the three steps scheme proposed in this paper performs better than the modified SP-iterative scheme. The results obtained in this paper extend and generalized the corresponding results in uniformly convex Banach spaces, CATinsert ignore into journalissuearticles values(0); space and many other results in this direction.
Keywords : Generalized nonexpansive, three steps iteration, multivalued mappings, hyperbolic spaces, fixed point theorem

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