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An order on subsets of cone metric spaces and fixed points of set-valued contractions. (English) Zbl 1187.47041
Summary: We introduce a new order on the subsets of cone metric spaces and, using this definition, we simplify the proof of fixed point theorems for contractive set-valued maps, omit the assumption of normality, and obtain some generalization of results.

##### MSC:
 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47H04 Set-valued operators 54H25 Fixed-point and coincidence theorems (topological aspects)
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##### References:
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