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Necessary and sufficient conditions for common fixed point theorems in fuzzy metric space

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Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to provide a necessary and sufficient condition for the existence of a common fixed point of three maps f , g and T in a complete fuzzy metric space under a general contractive condition. A common fixed point theorem for a pair of weakly biased mappings, which is more general than weakly compatible mappings is also proved.
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887--900
Opis fizyczny
Bibliogr. 18 poz.
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Bibliografia
  • [1] H. Adibi, Y. J. Cho, D. O'Regan, R. Saadati, Common fixed point theorems in L-fuzzy metric spaces, Appl. Math. Comp., 182 (2006), 820-828.
  • [2] Z. K. Deng, Fuzzy pseudo-metric spaces, J. Math. Anal. Appl. 86 (1982), 74-95.
  • [3] M. S. El Naschie, On a fuzzy Khaler-like manifold which is consistent with two slit experiment, Int. J. Nonlinear Sciences and Numerical Simulation 6 (2005), 95-98.
  • [4] A. George, P. Veeramani, On some results in fuzzy metric space, Fuzzy Sets and Systems 64 (1994), 395-399.
  • [5] A. George, P. Veeramani, On some results of analysis for fuzzy metric space, Fuzzy Sets and Systems 90 (1997), 365-368.
  • [6] M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385-389.
  • [7] G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly 83 (1976), 261-263.
  • [8] G. Jungck, Common fixed points for noncontinuous nonself maps on nonmetric spaces, Far East J. Math. Sci. 4 (2) (1996), 199-215.
  • [9] I. Kramosil, J. Michalek, Fuzzy metrics and statistical metric spaces, Kybernetika (Prague) 11 (1975), 336-344.
  • [10] O. Kaleva, S. Seikkala, On Fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984), 215-229.
  • [11] S. N. Mishra, N. Sharma, S. L. Singh, Common fixed points of maps on fuzzy metric spaces, Internat. J. Math. Math. Sci. 17 (1994), 253-258.
  • [12] D. O'Regan, R. Saadati, Some common fixed point theorems for weakly commuting maps in L-fuzzy metric spaces, submitted.
  • [13] V. Pant, Contractive conditions and common fixed points in fuzzy metric space, J. Fuzzy. Math. 14 (2) (2006), 267-272.
  • [14] W. F. Pfeffer, More on involution of a circle, Amer. Math. Monthly 81 (1974), 613-616.
  • [15] R. Saadati, A. Razani, H. Adibi, A common fixed point theorem in L-fuzzy metric spaces, Chaos Solitons Fractals 33 (2007), 358-363.
  • [16] B. Schweizer, A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334.
  • [17] B. Singh, M. S. Chauhan, Common fixed points of compatible maps in fuzzy metric spaces, Fuzzy Sets and System 115 (2000), 471-475.
  • [18] L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0027-0019
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