一种新的算子插值不动点定理及其在同伦论中的应用

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2022-09-30 DOI:10.1007/s40065-022-00402-z

Mujahid Abbas, Rizwan Anjum, Shakeela Riasat

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引用次数: 2

摘要

本文的目的是利用算子插值技术引入一类多值算子。我们的结果扩展和推广了现有文献中的几个结果。此外，我们还研究了不动点集的数据依赖性问题和本文引入的算子的不动点问题的Ulam–Hyers稳定性。此外，作为一个应用，我们得到了一个同伦论的结果。

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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A new type of fixed point theorem via interpolation of operators with application in homotopy theory

The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.