References
- C. Alaca and H. Efe, On Intuitionistic fuzzy Banach spaces, Int. J. Pure Appl. Math. 32 (2006), 347–364
- C. Alaca, D. Turkoglu, and C. Yildiz, Fixed points in intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals 29 (2006), 1073–1078 https://doi.org/10.1016/j.chaos.2005.08.066
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96 https://doi.org/10.1016/S0165-0114(86)80034-3
- S. Banach, Theorie les operations Lineaires, Manograie Mathematyezne Warsaw Poland, 1932
- S. S. Chang, Fixed point theorem of mappings on probabilistic metric spaces with applications, Sci. Sinica (Ser. A) 26 (1983), 1144–1155
- D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81–89 https://doi.org/10.1016/S0165-0114(96)00076-0
- Zi-Ke Deng, Fuzzy pseudo-metric spaces, J. Math. Anal. Appl. 86 (1982), 74–95 https://doi.org/10.1016/0022-247X(82)90255-4
- M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74–79 https://doi.org/10.1112/jlms/s1-37.1.74
- M. A. Erceg, Metric spaces in fuzzy set theory, J. Math. Anal. Appl. 69 (1979), 205-230 https://doi.org/10.1016/0022-247X(79)90189-6
- Jin-Xuan Fang, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 46 (1992), 107-113 https://doi.org/10.1016/0165-0114(92)90271-5
- M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385–389 https://doi.org/10.1016/0165-0114(88)90064-4
- V. Gregori, S. Romaguera, and P. Veeramani, A note on intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals 28 (2006), 902-905 https://doi.org/10.1016/j.chaos.2005.08.113
- G. Jungck, Commuting maps and fixed points, Amer. Math. Monthly 83 (1976), 261-263 https://doi.org/10.2307/2318216
- O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984), 225-229 https://doi.org/10.1016/0165-0114(84)90069-1
- O. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 326-334
- R. Lowen, Fuzzy set theory, Kluwer Academic Pub., Dordrecht, 1996
- K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. USA 28 (1942), 535-537 https://doi.org/10.1073/pnas.28.12.535
- S. N. Mishra, S. L. Singh, and V. Chadha, Coincidences and fixed points in fuzzy metric spaces, J. Fuzzy Math. 6 (1998), 491-500
- R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440 https://doi.org/10.1006/jmaa.1994.1437
- J. H. Park, Intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals 22 (2004), 1039-1046 https://doi.org/10.1016/j.chaos.2004.02.051
- J. S. Park, Y. C. Kwun, and J. H. Park, A fixed point theorem in the intuitionistic fuzzy metric spaces, Far East J. Math. Sci. 16 (2005), no. 2, 137-149
- A. Razani, Existence of fixed point for the nonexpansive mappings in intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals 30 (2006), 367-373 https://doi.org/10.1016/j.chaos.2005.10.010
- R. Saadati and J. H. Park, On the intuitionistic topological spaces, Chaos, Solitons & Fractals 27 (2006), 331-344 https://doi.org/10.1016/j.chaos.2005.03.019
- B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 314-334
- S. L. Singh and A. Tomar, Fixed point theorems in FM-spaces, J. Fuzzy Math. 12 (2004), 845-859
- D. Turkoglu, C. Alaca, Y. J. Cho, and C. Yildiz, Common fixed point theorems in intuitionistic fuzzy metric spaces, J. Appl. Math. & Computing 22 (2006), 411-424
-
D. Turkoglu, C. Alaca, and C. Yildiz, Compatible maps and compatible maps of types (
$\alpha$ ) and ($\beta$ ) in intuitionistic fuzzy metric spaces, Demonstratio Mathematica 39 (2006), 671–684 - L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X
Cited by
- Coincidence and common fixed point theorems in modified intuitionistic fuzzy metric spaces vol.58, pp.3-4, 2013, https://doi.org/10.1016/j.mcm.2013.03.010
- Common fixed point theorems for families of compatible mappings in intuitionistic fuzzy metric spaces vol.56, pp.2, 2010, https://doi.org/10.1007/s11565-010-0105-1