Fixed Point Theorem in Fuzzy Metric Space

Kavita Shrivastava; Swati Saxena

doi:https://doi.org/10.14445/22315373/IJMTT-V38P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 38 | Number 2 | Year 2016 | Article Id. IJMTT-V38P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V38P513

Fixed Point Theorem in Fuzzy Metric Space

Kavita Shrivastava, Swati Saxena

Citation :

Kavita Shrivastava, Swati Saxena, "Fixed Point Theorem in Fuzzy Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 38, no. 2, pp. 78-81, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V38P513

Abstract

The intent of this paper is to initiate the concept of weak-compatibility and semicompatibility in the context of fuzzy metric spaces. The follow-up investigations by many other mathematicians in due course established a lot of interesting results. Picked up some ideas from these results we established some common fixed point theorem on fuzzy metric space for eight mappings which is the generalization of results of Som [2] and Mukherjee [1].

Keywords

complete fuzzy Metric Space, semi-compatible Mapping.

References

[1] Mukherjee, R.N. : Indian J. pure Appl. Math. 12(8) (1981), 930.
[2] Som, T. : Few common fixed points for comparative mappings, Bull. Cal. Math. Soc., 95(4) (2003), 307-312.
[3] Som, T. and Mukherjee, R.N.: A fixed point theorems for two non-self mapping, Proc. Acad. Sci. India, 56(111), (1986).