Normal Structure and Common Fixed Point Properties for Semigroups of Nonexpansive Mappings in Banach Spaces
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چکیده
A closed convex subset C of a Banach space E has normal structure if for each bounded closed convex subsetD of Cwhich contains more than one point, there is a point x ∈ D which is not a diametral point of D, that is, sup {‖x − y‖ : y ∈ D} < δ D , where δ D the diameter of D. The set C is said to have fixed point property FPP if every nonexpansive mapping T : C → C has a fixed point. In 1 , Kirk proved the following important celebrated result.
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تاریخ انتشار 2010