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Common fixed point of compatible maps of type $(\gamma)$ on complete fuzzy metric spaces

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In this paper, we establish a common fixed point theorem in complete fuzzy metric spaces which generalizes some results in [9].

Abstract

In this paper, we establish a common fixed point theorem in complete fuzzy metric spaces which generalizes some results in [9].

참고문헌 (16)

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  3. M. S. El Naschie, "On a fuzzy Kahler-like manifold which is consistent with two-slit experiment", Int. Journal of Nonlinear Science and Numerical Simulation, 6, pp.95~98 (2005)
  4. M. S. El Naschie, "The idealized quantum two-slit gedanken experiment revisited—riticism and reinterpretation", Chaos Solitons and Fractals, 27, pp.9~13 (2006)
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  9. Servet Kutukcu, "Common fixed points of compatible maps of type $(\beta )$ on fuzzy metric spaces", 대한수학회논문집, 21(1), pp.89~100 (2006), 대한수학회
  10. D. Miheţ, "A Banach contraction theorem in fuzzy metric spaces", Fuzzy Sets and Systems, 144, pp.431~439 (2004)
  11. J. Rodríguez López, "The Hausdorff fuzzy metric on compact sets", Fuzzy Sets and Systems, 147, pp.273~283 (2004)
  12. R. Saadati, "A common fixed point theorem for R-weakly commutiting maps in fuzzy metric spaces", 6th Iranian Conference on Fuzzy Systems, pp.387~391 (2006)
  13. B. Schweizer, "Contractions on PM-space examples and counterexamples", Stochastica, 1, pp.5~17 (1988)
  14. B. Singh, "A fixed point theorem in Menger space through weak compatibility", J. Math. Anal. Appl., 301(2), pp.439~448 (2005)
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  16. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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