关于F-压缩映射的一个新变种及其在分数阶微分方程中的应用

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-06-30 DOI:10.15388/namc.2022.27.27963

Pradip Ramesh Patlea, M. Gabeleh

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引用次数: 1

摘要

本文利用非紧测度的概念，证明了最佳邻近点（对）的存在性。我们引入了一类广义的循环（非循环）F-压缩算子，然后导出了Banach（严格凸Banach）空间中的最佳邻近点（对）结果。这项工作包括一些最近的结果作为推论。我们用这些结论证明了Hilfer分数微分方程组最优解的存在性。

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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On a new variant of F-contractive mappings with application to fractional differential equations

The present article intends to prove the existence of best proximity points (pairs) using the notion of measure of noncompactness. We introduce generalized classes of cyclic (noncyclic) F-contractive operators, and then derive best proximity point (pair) results in Banach (strictly convex Banach) spaces. This work includes some of the recent results as corollaries. We apply these conclusions to prove the existence of optimum solutions for a system of Hilfer fractionaldifferential equations.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.