完备拟度量空间上c类和a类函数的不动点定理

Q4 Mathematics
Mensur Tugba Yalcin, H. Simsek, I. Altun
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引用次数: 0

摘要

本文给出了$K$-完备、$M$-完备和Symth完备拟度量空间上单值映射的一些不动点定理。这里,对于压缩条件,我们考虑一些改变距离函数以及属于$C$-类和$A$-类的函数。同时,我们将考虑两个不同类型的$M$函数在压缩条件下,因为拟度量不提供对称性。最后,我们证明了我们的主要结果包括文献中在完全度量空间和完全拟度量空间上给出的许多不动点定理。我们还提供了一个示例来说明我们的结果的重要性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many fixed point theorems presented on both complete metric and complete quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results.
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来源期刊
Communications in Mathematical Analysis
Communications in Mathematical Analysis Mathematics-Applied Mathematics
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