Some New Fixed Point Theorems in Fuzzy Metric Spaces

Authors

  • Calogero Vetro Universita degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34, 90123 Palermo, Italy
  • Dhananjay Gopal Department of Applied Mathematics and Humanities, S. V. Na- tional Institute of Technology, Surat, Gujarat, India
Abstract:

Motivated by Samet et al. [Nonlinear Anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. The presented theorems extend, generalize and improve the corresponding results given in the literature.

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Journal title

volume 11  issue 3

pages  95- 107

publication date 2014-06-30

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