参考文献:1.Ćirić, L.: Some new results for Banach contractions and Edelstein contractive mappings on fuzzy metric spaces. Chaos Solitons Fractals 42, 146–154 (2009)MATH MathSciNet CrossRef 2.George, A., Veeramani, P.: On some result in fuzzy metric space. Fuzzy Sets Syst. 64, 395–399 (1994)MATH MathSciNet CrossRef 3.Grabiec, M.: Fixed points in fuzzy metric spaces. Fuzzy Sets Syst. 27, 385–389 (1988)MATH MathSciNet CrossRef 4.Gregori, V., Romaguera, S.: Some properties of fuzzy metric spaces. Fuzzy Sets Syst. 115, 485–489 (2000)MATH MathSciNet CrossRef 5.Gregori, V., Sapena, A.: On fixed-point theorems in fuzzy metric spaces. Fuzzy Sets Syst. 125, 245–252 (2002)MATH MathSciNet CrossRef 6.Hasanzade Asl, J., Rezapour, S., Shahzad, N.: On fixed points of \(\alpha -\psi \) -contractive multifunctions. Fixed Point Theory Appl. 2012, 212 (2012)CrossRef 7.Hussain, N., Arshad, M., Shoaib Fahimuddin, A.: Common fixed point results for \(\alpha -\psi \) -contractions on a metric space endowed with graph. J. Inequal. Appl. 2014, 136 (2014) 8.Kramosil, I., Michalek, J.: Fuzzy metric and statistical metric spaces. Kybernetica 11, 326–334 (1975)MathSciNet 9.Mihet, D.: On fuzzy contractive mappings in fuzzy metric spaces. Fuzzy Sets Syst. 158, 915–921 (2007)MATH MathSciNet CrossRef 10.Mihet, D.: On fuzzy \(\epsilon \) -contractive mappings in fuzzy metric space. Fixed Point Theory Appl. Article ID 87471 (2007) 11.Razani, A.: A contraction theorem in fuzzy metric space. Fixed Point Theory Appl. 2005, 257–265 (2005)MATH MathSciNet CrossRef 12.Roldan, A., Martinez, J., Roldan, C., Cho, Y.J.: Multidimensional coincidence point results for compatible mappings in partially ordered fuzzy metric spaces. Fuzzy Sets Syst. 251, 71–82 (2014)CrossRef 13.Rodríguez López, J., Romaguera, S.: The Hausdorff fuzzy metric on compact sets. Fuzzy Sets Syst. 147, 273–283 (2004)MATH CrossRef 14.Samet, B., Vetro, C., Vetro, P.: Fixed point theorems for \(\alpha -\psi \) -contractive type mappings. Nonlinear Anal. 75, 2154–2165 (2012)MATH MathSciNet CrossRef 15.Shen, Y., Qiu, D., Chen, W.: Fixed point theorems in fuzzy metric spaces. Appl. Math. Lett. 25, 138–141 (2012)MATH MathSciNet CrossRef
作者单位:P. Saha (1) Binayak S. Choudhury (1) Pradyut Das (1)
1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O. B. Garden, Shibpur, Howrah, West Bengal, 711103, India
刊物类别:Mathematics, general;
刊物主题:Mathematics, general;
出版者:Springer International Publishing
ISSN:2198-2759
文摘
In this paper we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in complete fuzzy metric spaces. We give an illustrative example. The result generalizes some existing results. Keywords Fuzzy metric spaces \(\alpha -\psi \)-Contraction \(\alpha \)-Admissible Continuous t-norm Fixed point