ℱ度量空间中的 L-模糊定点结果及其应用

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2024-01-01 DOI:10.1515/dema-2022-0206

Durdana Lateef

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引用次数: 0

摘要

摘要 Jleli和Samet在[On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)]中引入了ℱ-度量空间的概念，作为传统度量空间的广义化，并证明了该广义度量空间环境下的巴拿赫收缩原理。本文的目的是利用ℱ -度量空间，建立( β \beta - ψ \psi )-收缩的一些常见定点定理。我们的结果扩展、概括并巩固了文献中的几个已知结果。作为主要结果的应用，讨论了广义赫库哈拉导数背景下模糊初值问题的求解。

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L-Fuzzy fixed point results in ℱ -metric spaces with applications

Abstract Jleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of this generalized metric space. The objective of this article is to use ℱ -metric space and establish some common fixed point theorems for ( β \beta - ψ \psi )-contractions. Our results expand, generalize, and consolidate several known results in the literature. As applications of the main result, the solution for fuzzy initial-value problems in the background of a generalized Hukuhara derivative was discussed.

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.