On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings

Gordon, Joseph Frank and Shaikh, Abdul Hayee and Annan, Augustine and Arthur, Yarhands Dissou and Akweittey, Emmanuel and Obeng, Benjamin Adu and Anderson, Douglas R. (2023) On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings. Abstract and Applied Analysis, 2023. pp. 1-10. ISSN 1085-3375

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Abstract

In this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings. Precisely in his thesis, Ezearn introduced the concept of annihilated points, which extends the notion of fixed points, and it is only meaningful in the context of higher-order nonexpansive mappings and gave some mild conditions when the annihilated points could exist in strictly convex Banach spaces. In the last direction, we also extend Ezearn’s result on the approximate fixed point sequence for higher-order nonexpansive mappings to general higher-order nonexpansive mappings.

Item Type: Article
Subjects: Oalibrary Press > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 16 Mar 2024 11:52
Last Modified: 16 Mar 2024 11:52
URI: http://asian.go4publish.com/id/eprint/3713

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