Some Common Fixed Point Results for Noncommuting Mappings in Fuzzy Cone Metric Spaces
Keywords:
Fuzzy real number, Fuzzy cone metric space, weakly compatible mappings, Coincidence point and Common fixed point.Abstract
The existence of coincidence point and common fixed point for noncommuting mappings satisfying certain contractive condition in fuzzy cone metric space is established and result is justified by a counter example. By using this result, some common fixed point theorems are also established for generalize contractive conditions.
References
- H. Long-Guang, Z. XianCone metric spaces and fixed point theorems of contractive mappings J. Math. Anal. Appl., 332 (2007), pp. 1468-1476
- T.K.Samanta, Sanjoy Roy, Bivas Dinda, Cone Normed Linear Spaces, math GM11 September 2010. arxiv: 1009.2172v1.
- M. Eshaghi Gordji, M. Ramezani, H. Khodaei, H. Baghani, Cone normed spaces, math.FA4 December 2009. arXiv: 0912.0960v1.
- T. BagSome results on fuzzy cone metric spaces Ann. Fuzzy Math. Inform., 3 (2003), pp. 687-705
- T. BagFinite dimensional fuzzy cone normed linear spaces Int. J. Math. Sci. Comput., 2 (1) (2012), pp. 29-33
- G. JungckCommuting maps and fixed points Am. Math. Mon., 83 (1976), pp. 261-263
- I. Beg, M. AbbasCoincidence point and invariant approximation for mappings satisfying generalized weak contractive condition Fixed Point Theory Appl., 2006 (2006), pp. 1-7
- B.C. DhageGeneralized metric spaces and mappings with fixed point Bull. Cal. Math. Soc., 84 (1992), pp. 329-336
- A. George, P. VeeramaniOn some results in fuzzy metric spaces Fuzzy Sets Syst., 64 (1994), pp. 395-399
- G. JungckCompatible mappings and common fixed points Int. J. Math. Math. Sci., 9 (4) (1986), pp. 771-779
- M. Abbas, G. JungckCommon fixed point results for noncommuting mappings without continuity in cone metric spaces J. Math. Anal. Appl., 341 (2008), pp. 416-420
- M. Mizumoto, J. TanakaSome properties of fuzzy numbers M.M. Gupta, et al. (Eds.), Advances in Fuzzy Set Theory and Applications, North-Holland, New-York (1979), pp. 153-164
- O. Kaleva, S. SeikkalaOn fuzzy metric spaces Fuzzy Sets Syst., 12 (1984), pp. 215-229
- C. FelbinFinite dimensional fuzzy normed linear spaces Fuzzy Sets Syst., 48 (1992), pp. 239-248.
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