赫格杜斯-齐拉吉定点定理的注释与推广

IF 0.4 Q4 MATHEMATICS

Vestnik St Petersburg University-Mathematics Pub Date : 2024-04-18 DOI:10.1134/s1063454124010138

Y. Touail, D. Moutawakil

引用次数: 0

摘要

摘要通过在完全度量空间框架内引入一个新的收缩条件，给出了所谓赫格杜斯-西拉吉定点定理的新概括。作为应用，我们得到了一个新的定点定理，它概括并改进了文献中的许多已知结果。

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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Remarks and a Generalization of the Hegedüs–Szilágyi Fixed Point Theorem

Abstract

A new generalization of the so-called Hegedüs–Szilágyi fixed point theorem is given by introducing a new contractive condition in the framework of complete metric spaces. As an application, we get a new fixed point theorem that generalizes and improves many known results in the literature.

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来源期刊

Vestnik St Petersburg University-Mathematics MATHEMATICS-

CiteScore

0.70

自引率

50.00%

发文量

期刊介绍： Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.