Nadler’s fixed point results in dislocated Hausdorff A-metric spaces. (English) Zbl 1469.54029
Summary: In this paper, we present a new notion of metric called dislocated Hausdorff \(A\)-quasi-metric spaces. We highlight some of its properties, and establish the existence of fixed point of multivalued mappings in the setting of several comparable existing generalized metric spaces. These results unify, improve and generalize various recent related results in the existing literature.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 54C60 | Set-valued maps in general topology |
Keywords:
dislocated metric spaces; multivalued contractions; generalized Hausdorff metric spaces; Nash equilibrium; Nadler’s fixed point theoremReferences:
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