关于一般高阶非膨胀映射的湮灭点和近似不动点

Q3 Mathematics Abstract and Applied Analysis Pub Date : 2023-05-02 DOI:10.1155/2023/9735244

Joseph Frank Gordon, Abdul Hayee Shaikh, Augustine Annan, Y. Arthur, Emmanuel Akweittey, Benjamin Adu Obeng

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引用次数: 0

摘要

在本文中，我们将Ezeearn关于其高阶非扩张映射的湮灭点的结果推广到一般高阶非扩展映射的上下文中。正是在他的论文中，Ezrearn引入了湮灭点的概念，它扩展了不动点的概念，并且它只在高阶非扩张映射的上下文中有意义，并给出了湮灭点将存在于严格凸Banach空间中的一些温和条件。在最后一个方向上，我们还将Ezeearn关于高阶非扩张映射的近似不动点序列的结果推广到一般的高阶非扩展映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.