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A short and sharpened way to approach fixed point results involving fuzzy \(\mathcal{H}\)-contractive mappings
Fixed Point Theory and Applications Pub Date : 2020-10-01 , DOI: 10.1186/s13663-020-00682-0
Hayel N. Saleh , Mohammad Imdad , Md Hasanuzzaman

In the present paper, we adopt a short and sharpened approach to prove fixed point results involving fuzzy $\mathcal{H}$ -contractive mappings utilized in (Wardowski, Fuzzy Sets Syst. 125:245–252, 2013) and other related articles. In this process, we are able to relax some conditions utilized by earlier authors which in turn yields affirmative answers to some open questions raised by earlier authors.

中文翻译:

一种简短而尖锐的方法来处理涉及模糊\(\ mathcal {H} \)压缩映射的定点结果

在本文中,我们采用一种简短的方法来证明定点结果,该定点结果涉及在(Wardowski,Fuzzy Sets Syst。125:245–252,2013)和其他相关文章中使用的模糊$ \ mathcal {H} $-压缩映射。在这个过程中,我们能够放宽早期作者使用的一些条件,从而对早期作者提出的一些开放性问题给出肯定的答案。
更新日期:2020-10-02
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