Article
Common Fixed Point Theorem in Fuzzy Metric Spaces with An Application in the Product Space
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Abstract
The purpose of this paper is to investigate the existence anduniqueness of common fixed point for a pair of mappings using implicit functions in the setup of fuzzy metric spaces. The m appings considered need not be commutative (nor minimal commutative) and the results are proved without making an appeal to the continuity of maps. At the end we give an application in the product spaces.
Keywords
Fuzzy metric space, Product space, Common fixed point, Implicit relation
Citation
Jain, M., Kumar, S., & Kumar, M. (2016). Common fixed point theorem in fuzzy metric spaces with an application in the product space. Journal of Analysis & Number Theory, 4(2), 139–143. https://doi.org/10.18576/jant/040209
M. Jain, S. Kumar and M. Kumar, “Common fixed point theorem in fuzzy metric spaces with an application in the product space,” Journal of Analysis & Number Theory, vol. 4, no. 2, pp. 139–143, 2016, doi: 10.18576/jant/040209.
Jain M, Kumar S, Kumar M. Common fixed point theorem in fuzzy metric spaces with an application in the product space. Journal of Analysis & Number Theory. 2016;4(2):139–143. doi:10.18576/jant/040209.
Jain, M., Kumar, S. and Kumar, M. (2016), ‘Common fixed point theorem in fuzzy metric spaces with an application in the product space’, Journal of Analysis & Number Theory, 4(2), pp. 139–143. Available at: https://doi.org/10.18576/jant/040209.
Jain, Manish, et al. “Common Fixed Point Theorem in Fuzzy Metric Spaces with an Application in the Product Space.” Journal of Analysis & Number Theory, vol. 4, no. 2, 2016, pp. 139–143. https://doi.org/10.18576/jant/040209.
Jain, Manish, Satish Kumar, and Manoj Kumar. “Common Fixed Point Theorem in Fuzzy Metric Spaces with an Application in the Product Space.” Journal of Analysis & Number Theory 4, no. 2 (2016): 139–143. https://doi.org/10.18576/jant/040209.
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Published by: Engineering Journals
