Common fixed point theorems in non-Archimedean fuzzy metric-like spaces with applications
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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.
Share and Cite
ISRP Style
Haiqing Zhao, Yanxia Lu, Phikul Sridarat, Suthep Suantai, Yeol Je Cho, Common fixed point theorems in non-Archimedean fuzzy metric-like spaces with applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3708--3718
AMA Style
Zhao Haiqing, Lu Yanxia, Sridarat Phikul, Suantai Suthep, Cho Yeol Je, Common fixed point theorems in non-Archimedean fuzzy metric-like spaces with applications. J. Nonlinear Sci. Appl. (2017); 10(7):3708--3718
Chicago/Turabian Style
Zhao, Haiqing, Lu, Yanxia, Sridarat, Phikul, Suantai, Suthep, Cho, Yeol Je. "Common fixed point theorems in non-Archimedean fuzzy metric-like spaces with applications." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3708--3718
Keywords
- Fuzzy metric space
- metric-like space
- Cauchy sequence
- fixed point theorem.
MSC
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