New effective bounds for the approximate common fixed points and asymptotic regularity of nonexpansive semigroups
نویسندگان
چکیده
منابع مشابه
Common Fixed Points of Commutative Semigroups of Nonexpansive Mappings
Let C be a closed convex subset of a Banach space E. A mapping T on C is called a nonexpansive mapping if ‖Tx− Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. We denote by F (T ) the set of fixed points of T . Kirk [21] proved that F (T ) is nonempty in the case that C is weakly compact and has normal structure. See also [3, 4, 5, 14] and others. If C is weakly compact and E has the Opial property, then C has n...
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*Correspondence: [email protected] 1Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia Full list of author information is available at the end of the article Abstract In this paper, we investigate the common approximate fixed points of monotone nonexpansive semigroups of nonlinear mappings {T (t)}t≥0, i.e., a family such that T (0)x = x, T (s + t)x = T (...
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ژورنال
عنوان ژورنال: Journal of Logic and Analysis
سال: 2018
ISSN: 1759-9008
DOI: 10.4115/jla.2018.10.7