Multivalued Fixed Point Results in Rectangular m-Metric Spaces

In this paper, we initiate the study of multivalued fixed point results in the framework of rectangular m-metric spaces. We establish fixed point theorems for Reich–Rus–Ćirić-type contractions and analyze two distinct cases based on the sum of the interpolative exponents: when the sum is less than one and when it is greater than one. Furthermore, by introducing the Hausdorff metric structure induced by rectangular m-metrics, our results generalize and extend various existing results in the literature. Illustrative examples are also provided to support and validate the obtained results.