Prešić-type准空间上q距离的不动点结果及其在(p, q)差分方程中的应用

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-10-27 DOI:10.15388/namc.2023.28.33436

Ishak Altun, İlker Gençtürk, Ali Erduran

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引用次数: 0

摘要

本文给q函数引入了两个新的性质，称为0性质和小自距性质，这两个性质在准空间不动点理论的研究中经常用到。然后，利用具有这些性质的q函数，给出了拟度量空间中Prešić-type映射的不动点定理。最后，我们给出了(p, q)差分方程边值问题解的存在唯一性定理，以证明我们的理论结果的适用性，并通过一个例子加以支持。

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Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations

In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Prešić-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example.

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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.