Proving new fixed point results in fuzzy metric spaces employing simulation function

Article type: Research Article

Authors: Perveen, Atiya^{; *} | Imdad, Mohammad

Affiliations: Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Correspondence: [*] Corresponding author. Atiya Perveen, Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. E-mail: atiyaperveen2@gmail.com.

Abstract: In this paper, the idea of MA-simulation function is introduced which has further been utilized to establish new fixed point results in fuzzy metric spaces. Moreover, it is shown that the proven result is quite a unified one to generalize several existing result. Furthermore, some new results are established to show the utility of our results. Some illustrative examples are also given which exhibit the usability of our results. Finally, we provide an application of our main results.

Keywords: t-norm, fuzzy metric space, MA-simulation function, α-admissible Ξ_MA-contraction mapping, fixed point

DOI: 10.3233/JIFS-182873

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 6493-6501, 2019