(psi)的新广义c条件的不动点定理模度量空间中的映射及其应用

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-07-19 DOI:10.15388/namc.2023.28.32711

Hami Gündoğdu, M. Öztürk, Ö. F. Gözükizil

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引用次数: 0

摘要

本文介绍了模度量空间中（ψ；γ）-映射的C条件的新推广。我们将度量空间中产生广义C条件的这类映射的不动点结果推广到模映射。我们证明了这类映射在模度量空间中解的存在性和唯一性。我们举了一个例子来强调我们的结果适用于模空间和普通空间之间的差异。此外，我们考虑了一些初值和边值问题来支持这里得到的结果。我们检验了模度量空间中问题解的存在性和唯一性。

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Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications

This paper introduces new generalizations of the C-condition for (ψ; γ)-mappings in modular metric spaces. We extend the fixed point results for such mappings yielding the generalized C-condition in metric spaces to modular ones.We proved the existence and uniqueness of solutions in modular metric spaces for these kinds of mappings. We give an example to emphasize that our results work in the difference between modularmetric spaces and usual ones. Moreover, we consider some initial and boundary value problems to support the results obtained here. We examine the existence and uniqueness of the solutions for the problems in modular metric spaces.

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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.