Common fixed point theorems in non-Archimedean fuzzy metric-like spaces with applications

Volume 10, Issue 7, pp 3708--3718 http://dx.doi.org/10.22436/jnsa.010.07.28

Publication Date: July 25, 2017 Submission Date: December 03, 2016

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Authors

Haiqing Zhao - Department of Mathematics and Physics, Baoding 071003, China. Yanxia Lu - Department of Mathematics and Physics, Baoding 071003, China. Phikul Sridarat - Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand. Suthep Suantai - Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand. Yeol Je Cho - Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 660-701, Korea. - Center for General Education, China Medical University, Taichung 40402, Taiwan.

Abstract

In this paper, we introduce the new concept called a non-Archimedean fuzzy metric-like space and prove some common fixed point theorems in this space. Our results extend some corresponding ones in the literature. Also, we give some examples to illustrate the main results. Finally, as applications, we consider the existence problem of solutions of integral equations by our main results.

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Keywords

• Fuzzy metric space
• metric-like space
• Cauchy sequence
• fixed point theorem.

MSC

•  47H05
•  47H09
•  54H25

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