Abstract
In this manuscript, we prove some new fixed point results for multivalued Kannan type interpolative contractive mappings over m-metric spaces. Our results cover all the possible cases of interpolative exponents: when their sum is equal to 1, less than 1 and greater than 1. We give examples to support our results. All the corresponding results in ordinary metric spaces are special cases of our new results for m-metric spaces. We also provide an application of homotopy to support our main result.
| Original language | English |
|---|---|
| Pages (from-to) | 3547-3562 |
| Number of pages | 16 |
| Journal | Filomat |
| Volume | 38 |
| Issue number | 10 |
| DOIs | |
| State | Published - Jan 1 2024 |
Keywords
- Fixed point
- Interpolative Kannan type contraction
- m-metric, homotopy
- Multivalued mappings