Ray's Theorem for Firmly Nonexpansive-Like Mappings and Equilibrium Problems in Banach Spaces
نویسندگان
چکیده
منابع مشابه
Ray’s Theorem for Firmly Nonexpansive-Like Mappings and Equilibrium Problems in Banach Spaces
Let C be a subset of a Banach space E. A mapping T : C → E is nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖ for all x, y ∈ C. In 1965, it was proved independently by Browder 1 , Göhde 2 , and Kirk 3 that if C is a bounded closed convex subset of a Hilbert space and T : C → C is nonexpansive, then T has a fixed point. Combining the results above, Ray 4 obtained the following interesting result see 5 for a...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2010
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2010/806837