Approximation of Fixed Points for Enriched Suzuki Nonexpansive Operators with an Application in Hilbert Spaces
نویسندگان
چکیده
In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that new mappings properly contains as well establish existence fixed point and convergence in a Hilbert space setting under Krasnoselskii iteration process. One our main results is applied to solve split feasibility problem (SFP) Our are significant improvement corresponding literature.
منابع مشابه
Approximation 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...
متن کاملapproximation 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...
متن کاملGeneral Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Copyright q 2011 Xue-song Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a n...
متن کاملApproximation of Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Let H be a real Hilbert space. Consider on H a nonexpansive semigroup S {T s : 0 ≤ s < ∞} with a common fixed point, a contraction f with the coefficient 0 < α < 1, and a strongly positive linear bounded self-adjoint operator A with the coefficient γ > 0. Let 0 < γ < γ/α. It is proved that the sequence {xn} generated by the iterative method x0 ∈ H, xn 1 αnγf xn βnxn 1 − βn I − αnA 1/sn ∫sn 0 T ...
متن کاملViscosity Approximation to Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Let C be a closed convex subset of a Hilbert space H , let {T (t) : t ≥ 0}be a strongly continuous semigroup of non-expansive mapping on C such that ⋂ t≥0 F (T (t)) = ∅, and f : C → C be a fixed contractive mapping. Let {αn} and {tn} be sequences of real numbers satisfying 0 < αn < 1, tn > 0 and limn tn = limn αn tn = 0. Define a sequence {xn} in C by xn = αnf(xn) + (1 − αn)T (tn)xn, for n ∈ N....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Axioms
سال: 2021
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms11010014