Further investigation into the contractive condition in \mathcal{D}-generalized metric spaces with the transitivity

In this paper, we present fixed point results in \mathcal{D}-generalized metric spaces endowed with a transitive relation that is not necessarily a partial order. We also give two examples with numerical results to support our main results while fixed-point results in the literature are not applicable. Moreover, we introduce some new notions for consideration of the multidimensional fixed point results in the \mathcal{D}-generalized metric spaces.

کلیدواژه ها:

Fixed point of N-order ، \mathcal{D}-generalized metric space ، transitive relation