New Methods with Perturbations for Non-Expansive Mappings in Hilbert Spaces
نویسندگان
چکیده
منابع مشابه
An iterative method for amenable semigroup and infinite family of non expansive mappings in Hilbert spaces
begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...
متن کاملan iterative method for amenable semigroup and infinite family of non expansive mappings in hilbert spaces
begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...
متن کاملan iterative method for amenable semigroup and infinite family of non expansive mappings in hilbert spaces
begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...
متن کاملViscosity Approximation Methods for Nonexpansive Nonself-Mappings in Hilbert Spaces
Viscosity approximation methods for nonexpansive nonself-mappings are studied. Let C be a nonempty closed convex subset of Hilbert space H , P a metric projection of H onto C and let T be a nonexpansive nonself-mapping from C into H . For a contraction f on C and {tn} ⊆ (0,1), let xn be the unique fixed point of the contraction x → tn f (x) + (1− tn)(1/n) ∑n j=1(PT) x. Consider also the iterati...
متن کاملViscosity approximation methods for W-mappings in Hilbert space
We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.
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: Fixed Point Theory and Applications
سال: 2011
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2011-79