Article
Fixed Point Theorem in Fuzzy Metric Space Through Weak Compatibility
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Abstract
Fuzzy metric space is first defined by Kramosil and Michalek in 1975. Many authors modified Fuzzy metric space and proved fixed point results in Fuzzy metric space. Singh and Chauhan were first introduced the concept of compatible mappings of Fuzzy metric space and proved the common fixed point theorem in 2000. Cho et al. were introduced the concept of weak compatible mapping. In this paper, a fixed point theorem for six self-mappings is presented by using the concept of weak compatible maps which are the generalized result.
Keywords
Common fixed points, fuzzy metric space, compatible maps and weak compatible maps.
Citation
Govery, A. K. & Singh, M. (2017). Fixed point theorem in fuzzy metric space through weak compatibility. Journal of Analysis & Number Theory, 5(1), 1–4. https://doi.org/10.18576/jant/050101
A. K. Govery and M. Singh, “Fixed point theorem in fuzzy metric space through weak compatibility,” Journal of Analysis & Number Theory, vol. 5, no. 1, pp. 1–4, 2017, doi: 10.18576/jant/050101.
Govery AK, Singh M. Fixed point theorem in fuzzy metric space through weak compatibility. Journal of Analysis & Number Theory. 2017;5(1):1–4. doi:10.18576/jant/050101.
Govery, A. K. and Singh, M. (2017), ‘Fixed point theorem in fuzzy metric space through weak compatibility’, Journal of Analysis & Number Theory, 5(1), pp. 1–4. Available at: https://doi.org/10.18576/jant/050101.
Govery, Amit Kumar, and Mamta Singh. “Fixed Point Theorem in Fuzzy Metric Space Through Weak Compatibility.” Journal of Analysis & Number Theory, vol. 5, no. 1, 2017, pp. 1–4. https://doi.org/10.18576/jant/050101.
Govery, Amit Kumar, and Mamta Singh. “Fixed Point Theorem in Fuzzy Metric Space Through Weak Compatibility.” Journal of Analysis & Number Theory 5, no. 1 (2017): 1–4. https://doi.org/10.18576/jant/050101.
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Published by: Engineering Journals
