Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces
نویسندگان
چکیده
منابع مشابه
Common Fixed Points of One-parameter Nonexpansive Semigroups in Strictlyconvex Banach Spaces
One of our main results is the following convergence theorem for one-parameter nonexpansive semigroups: let C be a bounded closed convex subset of a Hilbert space E, and let {T(t) : t ∈ R+} be a strongly continuous semigroup of nonexpansive mappings on C. Fix u ∈ C and t1, t2 ∈ R+ with t1 < t2. Define a sequence {xn} in C by xn = (1− αn)/ (t2 − t1) ∫ t2 t1 T(s)xnds+ αnu for n ∈N, where {αn} is ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2006
ISSN: 1085-3375,1687-0409
DOI: 10.1155/aaa/2006/58684