Fréchet代数上的F-锥度量空间

IF 0.1 Q4 MATHEMATICS
H. Mehravaran, R. Allahyari, Hojjatollah Amiri Kayvanloo
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引用次数: 0

摘要

摘要本文讨论了在Fréchet代数上引入F-锥度量空间的概念作为Banach代数上F-锥度量空、Banach代数的-锥度量空间和Banach代数中-锥度量空的推广的成果。首先,我们研究了它的一些拓扑性质。接下来,我们为这样的空间定义了一个广义Lipschitz。此外,我们还研究了在新框架中满足这些条件的映射的一些不动点。随后,作为我们结果的应用,我们提供了一个例子。我们的工作概括了文献中一些著名的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
F-cone metric spaces over Fréchet algebra
Abstract The paper deals with the achievements of introducing the notion of F-cone metric spaces over Fréchet algebra as a generalization of F-cone metric spaces over a Banach algebra, -cone metric spaces over a Banach algebra, and -cone metric spaces over a Banach algebra. First, we study some of its topological properties. Next, we define a generalized Lipschitz for such spaces. Also, we investigate some fixed points for mappings satisfying such conditions in the new framework. Subsequently, as an application of our results, we provide an example. Our work generalizes some well-known results in the literature.
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