On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings-Reference-Cited by-同舟云学术

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

Published:2023-05-02 Issue: Volume:2023 Page:1-10
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Gordon Joseph Frank¹^ORCID,Shaikh Abdul Hayee²,Annan Augustine³,Arthur Yarhands Dissou¹,Akweittey Emmanuel¹,Obeng Benjamin Adu¹^ORCID

Affiliation:

1. Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana

2. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

3. Department of Mathematical Sciences, University of Texas at Dallas School of Natural Science and Mathematics, Richardson, Texas, USA

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2023/9735244.pdf

Reference9 articles.

1. A new type of nonexpansiveness;K. Goebel

2. Higher-order Lipschitz mappings

3. EzearnJ.Fixed Point Theory of some Generalisations of Lipschitz Mappings with Applications to Linear and Non-linear Problems, [Ph.D. thesis]2017Kumasi, GhanaKwame Nkrumah University of Science and Technology