Fixed point theorem in fuzzy metric space
DOI:
https://doi.org/10.5269/bspm.v34i1.24495Palavras-chave:
Fixed point, Fuzzy metric, continuous, t-normResumo
In this paper we prove a fixed point theorem on a fuzzy set defining a new class of fuzzy metric space as structure fuzzy metric space.Referências
1. J.X.Feng, On fixed point theorem in fuzzy metric space, Fuzzy sets and Systems, 46(1992), 107-113.
2. K. Kuratowski, Topology I, Warsaw, 1933.
3. M. Grabeic, Fixed points in fuzzy metric spaces, Fuzzy sets and systems, 27(1988), 385-389.
4. R. Vasuki, Common fixed point theorem in fuzzy metric space, Fuzzy sets and systems, 97(1998), 395-397.
5. L.A. Zadeh, Fuzzy sets, Inform. Control, 8(1965),338-353.
6. B. Schweizer and A. Sklar, Statistical metric space, Pacific Jour. Math, 10(1960), 314-334.
7. A. George and P. Veeramani, On some results in fuzzy metric space, Fuzzy sets and systems, 64(1997), 395-399.
8. Z.K.Deng, Fuzzy pseudo-metric space, J. Math. Anal. Appl, 86(1982), 191-207.
9. M.A. Erceg, Metric spaces in fuzzy set theory, J. Math. Anal. Appl, 69(1979), 205-230.
10. Y.J.Cho, Fixed point in fuzzy metric space, J. Fuzzy math, 5(1997), 940-962.
11. S. Banach, Theories les operation linearies, Manograie Mathematyezne, Warsaw, Poland, 1932.
12. O. Kramosil and J. Michalek, Fuzzy metric and statistical metric space, Kybernatika,11(1975), 326-334.
13. M.Edelstein, On fixed and periodic points under contraction mapping, J.London Math.Soc, 37(1962), 74-79.
14. J.F.Nash, Equilibrium points in n-person games, PNAS, 36(1950), 48-49.
15. S. Kakutani, A generalization of Brouwer’s fixed point theorem, Duke Math. Jour, 8(1941), 457-459.
16. B.C. Tripathy, S. Paul and N.R. Das, Banach’s and Kannan’s fixed point results in fuzzy 2-metric spaces, Proyecciones J. Math., 32(4),(2013), 363-379.
17. B.C. Tripathy, S. Paul and N.R. Das, A fixed point theorem in a generalized fuzzy metric space, Boletim da Sociedade Paranaense de Matematica, 32(2)(2014), 221-227.
2. K. Kuratowski, Topology I, Warsaw, 1933.
3. M. Grabeic, Fixed points in fuzzy metric spaces, Fuzzy sets and systems, 27(1988), 385-389.
4. R. Vasuki, Common fixed point theorem in fuzzy metric space, Fuzzy sets and systems, 97(1998), 395-397.
5. L.A. Zadeh, Fuzzy sets, Inform. Control, 8(1965),338-353.
6. B. Schweizer and A. Sklar, Statistical metric space, Pacific Jour. Math, 10(1960), 314-334.
7. A. George and P. Veeramani, On some results in fuzzy metric space, Fuzzy sets and systems, 64(1997), 395-399.
8. Z.K.Deng, Fuzzy pseudo-metric space, J. Math. Anal. Appl, 86(1982), 191-207.
9. M.A. Erceg, Metric spaces in fuzzy set theory, J. Math. Anal. Appl, 69(1979), 205-230.
10. Y.J.Cho, Fixed point in fuzzy metric space, J. Fuzzy math, 5(1997), 940-962.
11. S. Banach, Theories les operation linearies, Manograie Mathematyezne, Warsaw, Poland, 1932.
12. O. Kramosil and J. Michalek, Fuzzy metric and statistical metric space, Kybernatika,11(1975), 326-334.
13. M.Edelstein, On fixed and periodic points under contraction mapping, J.London Math.Soc, 37(1962), 74-79.
14. J.F.Nash, Equilibrium points in n-person games, PNAS, 36(1950), 48-49.
15. S. Kakutani, A generalization of Brouwer’s fixed point theorem, Duke Math. Jour, 8(1941), 457-459.
16. B.C. Tripathy, S. Paul and N.R. Das, Banach’s and Kannan’s fixed point results in fuzzy 2-metric spaces, Proyecciones J. Math., 32(4),(2013), 363-379.
17. B.C. Tripathy, S. Paul and N.R. Das, A fixed point theorem in a generalized fuzzy metric space, Boletim da Sociedade Paranaense de Matematica, 32(2)(2014), 221-227.
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2015-05-06
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