富插值Kannan型算子的不动点结果及其应用

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-09-27 DOI:10.4995/agt.2022.16701

M. Abbas, Rizwana Anjum, Shakeela Riasat

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引用次数: 4

摘要

本文的目的是在Banach空间上引入一类富插值Kannan型算子，该类算子包含了富Kannan算子类、插值Kannan型收缩算子类和其他一些非线性算子类。给出了一些例子来支持本文所介绍的概念。证明了Krasnoselskij迭代法逼近富插值Kannan型算子不动点的收敛性定理。研究了所引入算子的适定性、Ulam-Hyers稳定性和周期点性质。作为主要结果的应用，解决了变分不等式问题。

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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Fixed point results of enriched interpolative Kannan type operators with applications

The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains theclasses of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskij iteration method to approximate fixed point of the enriched interpolative Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability and periodic point property of operators introduced herein. As an application of the main result, variational inequality problems is solved.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.