用一些不动点定理对m -度量空间进行了新的推广

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-05-24 DOI:10.22190/FUMI200310007K

E. Karapınar, K. Roy, M. Saha

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摘要

本文引入了一种新的序列空间，作为M -度量空间和M -度量空间的推广。在这个广义空间中，我们定义了m -压缩和m -拟压缩两个压缩映射，并证明了这类映射的不动点定理。为了加强我们的定理的假设，已经提出了几个说明性的例子。

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A NEW GENERALIZATION OF M-METRIC SPACE WITH SOME FIXED POINT THEOREMS

In this paper, we introduce a new sequential space as a generalization of M − metricspaces and M b − metric spaces. In this generalized space we define two contractive mappings namely m − contraction and m − quasi-contraction and prove some fixed point theorems for such type of mappings. Several illustrative examples have been presented in strengthening the hypothesis of our theorems.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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