利用F-Lipschitzian映射的新不动点结果证明abc -分数阶BVP的存在性

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2022-01-01 DOI:10.1515/dema-2022-0028

N. Mehmood, I. Khan, Muhammad Ayyaz Nawaz, Niaz Ahmad

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引用次数: 3

摘要

摘要本文证明了在满足有理型F-lipschitzian条件的两个度量集上自映射的不动点结果，其中F F被认为是一个半Wardowski函数，其常数τ∈R\tau\In{\mathbb{R}｝而不是τ>0\tau\gt 0。已经考虑了两个度量，一个是不完整的，而另一个是轨道完整的。映射从一个度量到另一个度量是轨道连续的。提供了一些例子来验证我们的结果。对于应用，我们给出了一类新的ABC分数边值问题解的存在性结果。

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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Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings

Abstract In this article, fixed point results for self-mappings in the setting of two metrics satisfying F F -lipschitzian conditions of rational-type are proved, where F F is considered as a semi-Wardowski function with constant τ ∈ R \tau \in {\mathbb{R}} instead of τ > 0 \tau \gt 0 . Two metrics have been considered, one as an incomplete while the other is orbitally complete. The mapping is taken to be orbitally continuous from one metric to another. Some examples are provided to validate our results. For applications, we present existence results for the solutions of a new type of ABC-fractional boundary value problem.

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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.