The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings
نویسندگان
چکیده
منابع مشابه
The Asymptotic Behavior of Firmly Nonexpansive Mappings
We present several new results on the asymptotic behavior of firmly nonexpansive mappings in Banach spaces and in the Hubert ball. Let D be a subset of a (real) Banach space X. Recall that a mapping T: D -» X is said to be firmly nonexpansive [2, 4] if for each x and y in D, the convex function /: [0,1] -> [0, oo) defined by f{s) = \(\-s)x + sTx-((l-s)y + sTy) \ is nonincreasing. Note that T is...
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*Correspondence: [email protected] 1Department of Economics, Chiba University, Yayoi-cho, Inage-ku, Chiba-shi, Chiba, 263-8522, Japan Full list of author information is available at the end of the article Abstract We show that a strongly relatively nonexpansive sequence of mappings can be constructed from a given sequence of firmly nonexpansive-like mappings in a Banach space. Using this ...
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2015
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-015-0710-3