Multivalued Fixed Point Results in Rectangular m-Metric Spaces
Abstract
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.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Axioms
- Volume
- 15
- Issue
- 1
- Pages
- 48–48
- Publication date
- 8 January 2026
- Language
- EN