Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via ...
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 کاملStrong and Weak Convergence Theorems for a New Split Feasibility Problem
Very recently, Moudafi proposed the following new convex feasibility problem in [10,11]: find x ∈ C, y ∈ Q such that Ax = By, where the two closed convex sets C and Q are the fixed point sets of two firmly quasi-nonexpansive mappings respectively, H1, H2 and H3 are real Hilbert spaces, A : H1 → H3 and B : H2 → H3 are two bounded linear operators. However, they just obtained weak convergence for...
متن کاملThe Equilibrium Problem for Nonspreading-type Mappings in Hilbert Spaces
In this paper, an iterative algorithm for equilibrium problems and a class of strictly pseudononspreading mappings which is more general than the class of nonspreading mappings studied recently in Kurokawa and Takahashi [23] is proposed. Some weak convergence theorems are proved under suitable conditions in Hilbert space.
متن کاملWeak and Strong Convergence Theorems for Generalized Hybrid Mappings in Hilbert Spaces
In this paper, we first obtain a weak mean convergence theorem of Baillon’s type for generalized hybrid mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem of Halpern’s type for generalized hybrid mappings in a Hilbert space.
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: 2014
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2014-11