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An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

Abstract In this paper at first we introduce a new order on the subsets of cone metric spaces then, 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.