A Novel Iterative Algorithm Applied to Totally Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Ali Abkar and Mohsen Shekarbaigi
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Ali Abkar: Department of Mathemathics, Imam Khomeini International University, Qazvin 34149, Iran
Mohsen Shekarbaigi: Department of Mathemathics, Imam Khomeini International University, Qazvin 34149, Iran

Mathematics, 2017, vol. 5, issue 1, 1-13

Abstract: In this paper we introduce a new iterative algorithm for approximating fixed points of totally asymptotically quasi-nonexpansive mappings on CAT(0) spaces. We prove a strong convergence theorem under suitable conditions. The result we obtain improves and extends several recent results stated by many others; they also complement many known recent results in the literature. We then provide some numerical examples to illustrate our main result and to display the efficiency of the proposed algorithm.

Keywords: iterative algorithm; totally asymptotically quasi-nonexpansive mapping; ?-convergence; CAT(0) space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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