A Dynamical System Associated with the Fixed Points Set of a Nonexpansive Operator
نویسندگان
چکیده
منابع مشابه
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15 صفحه اولApproximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solutio...
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Lower subsets of an ordered semigroup form in a natural way an ordered semigroup. This lower set operator gives an analogue of the power operator already studied in semigroup theory. We present a complete description of the lower set operator applied to varieties of ordered semigroups. We also obtain large families of fixed points for this operator applied to pseudovarieties of ordered semigrou...
متن کاملSolutions of variational inequalities on fixed points of nonexpansive mappings
n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2015
ISSN: 1040-7294,1572-9222
DOI: 10.1007/s10884-015-9438-x