N-tupled fixed points theorem in fuzzy metric spaces with application

Abstract

We will introduce the concept of n-tupled fixed points (for positive integer n) in fuzzy metric space by mild modification of the concept of n-tupled fixed points (for even positive interger n) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will establish some n-tupled fixed point theorems for contractive type mappings in fuzzy metric space which extends the result of Roldán et al. (2013). Also we have given an application to solve a kind of Lipschitzian systems for n variables and an integral system.