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Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings. (English) Zbl 1094.47049
In this paper, the famous Banach contraction principle and Caristi’s fixed point theorem are generalized to the case of multi-valued mappings. The results are extensions of Nadler’s fixed point theorem and some Caristi type theorems for multi-valued operators.

47H10 Fixed-point theorems
47H04 Set-valued operators
54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
Full Text: DOI
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