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Asadi, M.; Soleimani, H.; Vaezpour, S. M.

An order on subsets of cone metric spaces and fixed points of set-valued contractions. (English) Zbl 1187.47041

Fixed Point Theory Appl. 2009, Article ID 723203, 8 p. (2009).
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.

Cited in 1 Review
Cited in 8 Documents

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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\textit{M. Asadi} et al., Fixed Point Theory Appl. 2009, Article ID 723203, 8 p. (2009; Zbl 1187.47041)
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References:

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