Common Fixed Point Results for Compatible Map in Digital Metric Space

• 作者: Ghaliah Y. Alhamzi Ibtisam A. Masmali Sumitra Dalal
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Implicit Relation Compatible Maps Fixed Point RESULTS DIGITAL METRIC SPACE METRIC SPACE
• 年，卷（期）: 2018,（3）
• 页码范围: 362-371
• 页数: 10页
• 分类号: O1

摘要

In this paper, we prove common fixed point results for quadruple self-mappings satisfying an implicit function which is general enough to cover a multitude of known as well as unknown contractions. Our results modify, unify, extend and generalize many relevant results existing in literature. Also, we define the concept of compatible maps and its variants in the setting of digital metric space and establish some common fixed point results for these maps. Also, an application of the proposed results is quoted in this note.