Samir Bhandari - Department of Mathematics, Bajkul Milani Mahavidyalaya, Kismat Bajkul, Purba Medinipur-۷۲۱۶۵۵, West Bengal, India
Sumit Chandok - School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-۱۴۷۰۰۴, Punjab, India
Radha Das - Barkhali High School, Barkhali, Amira, Diamond Harbour, South ۲۴ Parganas-۷۴۳۳۶۸, India

In the present paper, we establish some generalized cyclic contraction results through p-number of subsets by using two different types of t-norm, viz. Hadzic type t-norm and minimum t-norm in the setting of ۲- probabilistic metric spaces. Our results generalize some existing fixed point theorems in ۲-Menger spaces. Some illustrative examples and an application to the existence of a solution to Airy’s type differential equation are also provided.

۲-probabilistic metric space, Cauchy sequence, Convergence sequence, cyclic contraction, p-cyclic contraction