Fixed point results for $mathcal{H}$-contractions in fuzzy metric spaces via admissible

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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.



Article Info :

Received : March 11, 2018; Accepted : June 17, 2018.



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