Volume 55 | Number 7 | Year 2018 | Article Id. IJMTT-V55P569 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P569
In this paper, we define the expansive mapping in G-metric space and we prove some fixed point theorems in generalized M-fuzzy (GM-fuzzy) Metric Space.
[1] A. Deb Ray and P.K. Saha, Fixed point theorems on Generalized Fuzzy Metric spaces, Hacettepe Journal of Math and Statistics, Vol. 39(1) (2010), 1-9.
[2] Dhange, B.C., 1992, Generalized metric spaces and mappings with fixed point. Bull. Calcutta Math. SOC, 84(4): 329-336
[3] Guang Peng Sun and Kai Yang, Generalized fuzzy metric spaces with Properties, Research Journal of Applied Sciences, Engineering and Technology 2(7): 673-678, 2010.
[4] Mustafa Z., Obiedat H. and Awawdeh F., Some fixed point theorem for Mapping on complete G-metric spaces, Fixed point Theory and applications, 2008, article ID 189870, doi: 10.1155/2008/189870
[5] Shang Zhi Wang, Bo Yu Li, Zhi Min Gao and Kiyoshi Iseki, Some Fixed point theorem on Extension Mappings, Math. Japonica, 29, No.4 (1984), 631-636
[6] S. Sedghi, N. Shobe and H. Zhou, A common fixed point theorem in D*-metric spaces, Fixed point theory and application, Vol. 2007, Article ID 27906, 1-13 (2007)
[7] L.A. Zadeh, Fuzzy Sets, Information and control, Vol 8, 338-353 (1965)
[8] Zead Mustafa, A New Structure for Generalized Metric spaces – with Application to Fixed point Theory, Ph.D. Thesis, the university of New Castle, Australia, 2005.
[9] Zead Mustafa and Brailey Sims, A new Approach to Generalized Metric Spaces, Journal of Non Linear and Convex Analysis, 7(2) (2006), 289-297
[10] Zead Mustafa, Fadi Awawdeh and Wasfi Shatanawi, Fixed point theorem for Expansive Mapping in G-Metric spaces Int. J. Contemp. Math, Sciences, Vol. 5,2010, no. 50, 2463-2472.
Sanchita Chetia, "Fixed Point Theorems in Generalized M-Fuzzy Metric Spaces and its Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 7, pp. 534-540, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P569