Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type

• Published in: Optimization Vol. 67; no. 9; pp. 1377 - 1388
• Main Authors: Qin, Xiaolong, Cho, Sun Young, Wang, Lin
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 02.09.2018; Taylor & Francis LLC
• Subjects: Accretive operator; Banach spaces; Computational geometry; Convergence; Convexity; Iterative algorithms; projection; resolvent; strong convergence; variational inequality

In this paper, a new iterative method for finding the projection onto the intersection of two closed convex sets in the framework of Banach spaces is presented. It is a viscosity approximation method which produces a strongly convergent sequence.