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

被引：6
|
作者：
Abbas, Mujahid [1 ,2 ]
Anjum, Rizwan [3 ]
Riasat, Shakeela [4 ]
机构：
[1] Govt Coll Univ, Dept Math, Katchery Rd, Lahore, Pakistan
[2] Univ Pretoria, Dept Math & Appl Math, ZA-002 Pretoria, South Africa
[3] Riphah Int Univ, Riphah Inst Comp & Appl Sci, Dept Math, Lahore, Pakistan
[4] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2023年 / 12卷 / 02期
关键词：
46B70; 47H10; 47H04; 47H09; BANACH-SPACES; CONTRACTIONS; STABILITY;
D O I：
10.1007/s40065-022-00402-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：277 / 288
页数：12
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