varepsilon -连通正交度量空间中的不动点理论

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI:10.22130/SCMA.2018.72368.289

M. Gordji, Hasti Habibi

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引用次数: 1

摘要

Eshaghi等人提出了正交度量空间中不动点的存在性。本文证明了$varepsilon$连通正交度量空间上映射不动点的存在唯一性定理。由此得到了单复变解析函数不动点的存在唯一性。文章最后给出了一些实例说明。

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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Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space

The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some illustrating examples.

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来源期刊

Communications in Mathematical Analysis Mathematics-Applied Mathematics

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