Set-valued dynamics related to convex-valued m-mappings

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-07-03 DOI:10.1007/s00010-024-01103-y

Hamid Khodaei

引用次数: 0

Abstract

In this article, we study the set-valued dynamics related to some Euler-Lagrange type functional equations of convex-valued m-mappings. We deal with perturbations of these equations. In order to do this, we use the Banach contraction principle and the Hausdorff distance. Several outcomes on approximate solutions of a few important classic equations are discussed and some applications are given.

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与凸值 m 映射相关的集值动力学

在本文中，我们研究了与一些凸值 m 映射的欧拉-拉格朗日型函数方程相关的集值动力学。我们处理这些方程的扰动。为此，我们使用了巴拿赫收缩原理和豪斯多夫距离。我们讨论了几个重要经典方程近似解的结果，并给出了一些应用。

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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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.