带三角形函数的半度量空间中四边形的周界收缩原理

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2025-06-20 DOI:10.1007/s10474-025-01539-x

R. K. Bisht

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引用次数: 0

摘要

本文利用M. Bessenyei和Zs引入的三角形函数，研究了半度量空间框架内四边形的周界收缩原理，即Banach收缩原理的四点扩展。就是小巫见大巫了。我们提供了四边形上的不动点定理的新见解，证明了它在度量空间之外的适用性，包括超度量空间和带幂三角函数的距离空间。

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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Perimetric contraction principle on quadrilaterals in semimetric spaces with triangle functions

This paper investigates the perimetric contraction principle for quadrilaterals, a four-point extension of the Banach contraction principle, within the framework of semimetric spaces using triangle functions introduced by M. Bessenyei and Zs. Páles. We provide new insights into the fixed point theorem for perimetric contractions on quadrilaterals, demonstrating its applicability beyond metric spaces to include ultrametric spaces and distance spaces with power triangle functions.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.