$m_b$-度量空间上不同类型$H_b^｛+｝$-收缩的重合点结果

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-05-01 DOI:10.22130/SCMA.2020.131553.836

S. K. Mohanta, S. Patra

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引用次数: 0

摘要

本文给出了$m_b$-度量拓扑的一些性质，并证明了$m_b$-度量空间中的Cantor交定理。此外，我们还引入了一对多值和单值映射的一些新的$H_b^+$-压缩类，并讨论了它们的重合点。提供了一些例子来证明我们主要结果的有效性。

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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Coincidence Point Results for Different Types of $ H_b^{+} $-contractions on $m_b$-Metric Spaces

In this paper, we give some properties of $m_b$-metric topology and prove Cantor's intersection theorem in $m_b$-metric spaces. Moreover, we introduce some newclasses of $H_b^+ $-contractions for a pair of multi-valued and single-valued mappings and discuss their coincidence points. Some examples are provided to justify the validity of our main results.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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