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

被引：0
|
作者：
Mujahid Abbas
Rizwan Anjum
Shakeela Riasat
机构：
[1] Government College University,Department of Mathematics
[2] University of Pretoria,Department of Mathematics and Applied Mathematics
[3] Riphah International University,Department of Mathematics, Riphah Institute of Computing and Applied Sciences
[4] Government College University,Abdus Salam School of Mathematical Sciences
来源：
Arabian Journal of Mathematics | 2023年 / 12卷
关键词：
46B70; 47H10; 47H04; 47H09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：277 / 288
页数：11
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