Probabilistic Airy's type equation with third order minimum norm

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.

Keywords:

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