Some Fixed Point Results in Spaces with Perturbed Metrics

IF 1.4 4区 数学 Q1 MATHEMATICS Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.10
A. Branga, I. Olaru
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引用次数: 1

Abstract

"n this paper, the concept of perturbed metric was introduced within the metric spaces and some fixed point results were established for self-mappings satisfying such contractive conditions, using Picard operators technique and generalized contractions. Moreover, some applications of the main result to continuous data dependence of the fixed points of Picard operators defined on these spaces were presented. Also, the main result of this paper was applied to study the existence and uniqueness of the solution for an integral equation which models an epidemiological problem"
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扰动度量空间中的一些不动点结果
本文在度量空间中引入了摄动度量的概念,利用Picard算子技术和广义压缩,得到了满足摄动度量条件的自映射的不动点结果。此外,给出了主要结果在这些空间中定义的Picard算子不动点的连续数据依赖性的一些应用。并将本文的主要结果应用于研究一类流行病学问题的积分方程解的存在唯一性。
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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来源期刊
Carpathian Journal of Mathematics
Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.40
自引率
7.10%
发文量
21
审稿时长
>12 weeks
期刊介绍: Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.
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