Some fixed point results on ultrametric spaces endowed with a graph

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2024-01-01 DOI:10.1515/dema-2023-0132

Özlem Acar, A. S. Özkapu, M. Öztürk

引用次数: 0

Abstract

The present article deals with new fixed point theorems by means of G G -strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results that extend the current ones are offered, along with some examples that illustrate our results. Besides, an application utilized in dynamic programming that endorses the acquired observations is also provided.

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赋予图形的超对称空间的一些定点结果

本文通过 G G 强收缩映射论述了新的定点定理。研究成果在球面完全超对称空间的单值映射图中得到了证明。我们提供了扩展现有结果的特例，并列举了一些例子来说明我们的结果。此外，我们还提供了一个在动态编程中的应用，该应用认可了所获得的观察结果。

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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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.