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