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\((\alpha, \psi, \xi)\)-contractive multivalued mappings. (English) Zbl 1347.54063

Summary: In this paper, we introduce the notion of \((\alpha, \psi, \xi)\)-contractive multivalued mappings to generalize and extend the notion of \(\alpha\)-\(\psi\)-contractive mappings to closed valued multifunctions. We investigate the existence of fixed points for such mappings. We also construct an example to show that our result is more general than the results of \(\alpha\)-\(\psi\)-contractive closed valued multifunctions.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54C60 Set-valued maps in general topology
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