Document Type : Research Paper
Authors
School of Mathematical Science, Faculty of Science and Technology, Universiti kebangsaan Malaysia, 43600 Bangi, Selangor D.E., Malaysia
Abstract
In this paper, we introduce intuitionistic fuzzy contraction mapping
and prove a fixed point theorem in intuitionistic fuzzy metric spaces.
Keywords
[1] V. Gregory and A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and
Systems, 125 (2002), 245-253.
[2] H. P. A. Kunzi and S. Romaguera, Quasi-metric spaces, quasi-metric hyperspaces and uniform
local compactness, Rend. Istit. Univ. Trieste, 30 (1999), 133-144.
[3] R. Lowen, Fuzzy set theory, Kluwer Academic Publisher, Dordrecht, 1996.
[4] D. Mihet, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems,
144 (2004), 431-439.
[5] J. H. Park, Intutionistic fuzzy metric spaces, Chaos, Solitons and Fractals, 22 (2004), 1039-
1046.
[6] R. Saadati and J. H. Park, On the intuitionistic fuzzy topological spaces, Chaos, Solitons and
Fractals, 27 (2006), 331-344.
[7] P. Vijayaraju and M. Marudai, Fixed point theorem for fuzzy mappings, Fuzzy Sets and
Systems, 135 (2003), 401-408.
Systems, 125 (2002), 245-253.
[2] H. P. A. Kunzi and S. Romaguera, Quasi-metric spaces, quasi-metric hyperspaces and uniform
local compactness, Rend. Istit. Univ. Trieste, 30 (1999), 133-144.
[3] R. Lowen, Fuzzy set theory, Kluwer Academic Publisher, Dordrecht, 1996.
[4] D. Mihet, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems,
144 (2004), 431-439.
[5] J. H. Park, Intutionistic fuzzy metric spaces, Chaos, Solitons and Fractals, 22 (2004), 1039-
1046.
[6] R. Saadati and J. H. Park, On the intuitionistic fuzzy topological spaces, Chaos, Solitons and
Fractals, 27 (2006), 331-344.
[7] P. Vijayaraju and M. Marudai, Fixed point theorem for fuzzy mappings, Fuzzy Sets and
Systems, 135 (2003), 401-408.
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