Strong Convergence on the Split Feasibility Problem by Mixing W -Mapping
نویسندگان
چکیده
منابع مشابه
Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem
Using the idea of Tikhonov’s regularization, we present properties of the approximating curve for the split feasibility problem SFP and obtain the minimum-norm solution of SFP as the strong limit of the approximating curve. It is known that in the infinite-dimensional setting, Byrne’s CQ algorithm Byrne, 2002 has only weak convergence. We introduce a modification of Byrne’s CQ algorithm in such...
متن کاملSome Explicit and Hybrid Strong Convergence Algorithms for Solving the Multiple-Sets Split Feasibility Problem
In this paper, we present several explicit and hybrid strong convergence algorithms for solving the multiple-sets split feasibility problem (MSSFP). Firstly, we modify the existing successive, parallel and cyclic algorithms with the hybrid steepest descent method; then two new hybrid formulas based on the Mann type method are presented; Two general hybrid algorithms which can cover the former o...
متن کاملIterative 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 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 کاملStrong convergence theorem for solving split equality fixed point problem which does not involve the prior knowledge of operator norms
Our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real Hilbert space. So many have used algorithms involving the operator norm for solving split equality fixed point problem, ...
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
سال: 2021
ISSN: 2314-4785,2314-4629
DOI: 10.1155/2021/9924937