Abstract
The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem. The result of this article improved and extended the result of G. Marino and H. K. Xu and some others.
Highlights
Introduction and PreliminariesIterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 1, 2 and the references therein
The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem
X, u, 1.1 where C is the fixed point set of a nonexpansive mapping T defined on H, and u is a given point in H
Summary
An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces. The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem. The result of this article improved and extended the result of G.
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