A Viscosity Approximation Method for the Split Feasibility Problems in Hilbert Space
نویسندگان
چکیده
منابع مشابه
Viscosity 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 کاملGeneral Split Feasibility Problems in Hilbert Spaces
and Applied Analysis 3 Proof. First, we show that {x n } is bounded. In fact, let z ∈ Ω. Since {λ n,i } ⊂ (0, 2/‖A‖ 2 ), the operators P Ci (I − λ n,i A ∗ (I − P Qi )A) are nonexpansive, and hence we have xn+1 − z = α n x n + β n f (x n )
متن کاملViscosity Approximation Methods for Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces
The main objective of this paper is to find a common solution of split variational inclusion problem and fixed point problem of infinite family of nonexpansive operators in a setting of real Hilbert spaces. To reach this goal, the iterative algorithms which combine Moudafi’s viscosity approximation method with some fixed point technically proving methods are utilized for solving the problem. We...
متن کاملA viscosity approximation method for nonself operators and equilibrium problems in Hilbert spaces
Viscosity approximate methods have recently received much attention due to the applications in convex optimization problems. In this paper, we study a viscosity iterative algorithm with computational errors. Strong convergence theorems of solutions are established in the framework of Hilbert spaces. The main results presented in this paper improve the corresponding results announced recently. c...
متن کاملStrong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.
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: Journal of Mathematics Research
سال: 2017
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v9n1p84