The Methods of Hilbert Spaces and Structure of the Fixed-Point Set of Lipschitzian Mapping
نویسندگان
چکیده
منابع مشابه
The Methods of Hilbert Spaces and Structure of the Fixed-Point Set of Lipschitzian Mapping
The purpose of this paper is to prove, by asymptotic center techniques and the methods of Hilbert spaces, the following theorem. Let H be a Hilbert space, let C be a nonempty bounded closed convex subset of H, and let M an,k n,k≥1 be a strongly ergodic matrix. If T : C → C is a lipschitzian mapping such that lim infn→∞infm 0,1,... ∑∞ k 1 an,k · ‖Tk m‖ 2 < 2, then the set of fixed points Fix T {...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2009
ISSN: 1687-1812
DOI: 10.1155/2009/586487