Comments on "Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric"

被引:4
|
作者
Prithvi, B. V. [1 ]
Katiyar, S. K. [2 ]
机构
[1] SRM Inst Sci & Technol, Dept Math, Chennai 603203, India
[2] Dr BR Ambedkar Natl Inst Technol NIT, Dept Math, Jalandhar 144011, Punjab, India
关键词
Contraction; Partial metric space; Fixed point; Picard operator; Iterated function system; Fractal;
D O I
10.1016/j.topol.2023.108687
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this work is to fill a gap in the article Priya and Uthayakumar (2022) [13]. To prove fractals (fixed points), the authors of that article tried to connect two independent conceptual domains. This results in their main theorem being wrong and becoming a conjecture. This paper scrutinizes and presents both the concepts above to demonstrate fractals in the settings posed in that article. Using a proper definition, the correct theorem to achieve the purpose of that article is discussed. (c) 2023 Elsevier B.V. All rights reserved.
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页数:11
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