On Some Fixed Point Results in Complete 2-Metric Spaces

Abstract

The present paper proves a number of related results concerning fixed points in the area of complete 2-metric spaces. These results represent versions of several fixed-point theorems in complete metric spaces that were established in the literature at a later stage. By extending classical results from metric spaces to the more general framework of 2-metric spaces, we aim to provide deeper insight into the structure and behavior of mappings defined on such spaces.

In particular, we investigate conditions under which the existence and uniqueness of fixed points can be guaranteed. The obtained results not only generalize well-known theorems but also contribute to the ongoing development of fixed-point theory in generalized metric settings.