Fixed point results for $mathcal{H}$-contractions in fuzzy metric spaces via admissible
Authors :
Prapoorna Manthena1* and Rangamma Manchala2
Author Address :
1,2Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana -500007, India.
*Corresponding author.
Abstract :
In the present work, we come out with the introduction of $alpha$ - $psi$ - fuzzy $mathcal{H}$ - contraction mapping in the setting of fuzzy metric spaces. We establish fixed point results for such contraction mappings in a complete fuzzy metric space. An example is bestowed to illustrate the applicability of the obtained result.
Keywords :
$t$-norm, fuzzy metric space, $alpha$ - admissible, fuzzy $mathcal{H}$ - contractive mapping.
DOI :
Article Info :
Received : March 11, 2018; Accepted : June 17, 2018.