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Fixed points for contractive type multimaps. (English) Zbl 1226.54051

The paper presents local and global fixed point and strict fixed point theorems for multivalued operators of Feng-Liu type [Y. Feng and S. Liu, J. Math. Anal. Appl., 317, No. 1, 103–112 (2006; Zbl 1094.47049)] in complete metric space endowed with a \(w\)-distance in the sense of O. Kada, T. Suzuki and W. Takahashi [Math. Jap. 44, No. 2, 381–391 (1996; Zbl 0897.54029)]. The results generalize some recent theorems in the literature.

MSC:

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