Some new fuzzy fixed point theorems via distance functions with applications

Volume 10, Issue 4, pp 1986--2000 http://dx.doi.org/10.22436/jnsa.010.04.56

Publication Date: April 20, 2017 Submission Date: July 08, 2016

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Authors

Bitao Cheng - School of Mathematics and Statistics, Qujing Normal University, Qujing, Yunnan, 655011, P. R. China. - School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P. R. China. - Institute of Applied Mathematics, Qujing Normal University, Qujing, Yunnan, 655011, P. R. China. Jianhua Chen - School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P. R. China. Xianhua Tang - School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P. R. China.

Abstract

In this paper, we prove some new fuzzy fixed point theorems on a space of fuzzy sets under a G-distance function and a \(\acute{G}\)-distance function. Our results extend, generalize, and improve some existing results. Moreover, some applications are given here to illustrate the usability of the obtained results.

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Keywords

• Fuzzy set
• fuzzy-mapping
• G-distance functions
• \(\acute{G}\)-distance functions
• fuzzy fixed point.

MSC

•  47H10
•  54H25

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