Fixed point on convex \(b\)-metric space via admissible mappings. (English) Zbl 07563292
Summary: In this manuscript, we define a convex admissible mapping. Using this notion, we consider specific contraction involving rational terms via convex admissible mapping. We investigate the necessary and sufficient requirement to guarantee a fixed point in the framework of convex \(b\)-metric spaces.
MSC:
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H10 | Fixed-point theorems |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
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