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New Algorithms for a Class of Accretive Variational Inequalities in Banach Spaces
Nguyen Buong
,
Than Van Dinh
,
Tran Thi Huong
Abstract
In this paper, for finding a common zero of a finite family of $m$-accretive mappings in uniformly convex Banach spaces with a uniformly Gâteaux differentiable norm, we propose an implicit iteration algorithm and an explicit one, based on a convex combination of the steepest-descent method and a composition of resolvents. We also show that our main algorithm contains some iterative ones in literature as special cases. Finally, we give numerical examples for illustration.