Iterative algorithms for infinite accretive mappings and applications to p-Laplacian-like differential systems
Li Wei, Ravi P. Agarwal · Fixed Point Theory and Applications · 2016
Abstract Some new iterative algorithms with errors for approximating common zero point of an infinite family of m-accretive mappings in a real Banach space are presented. A path convergence theorem and some new weak and strong convergence theorems are proved by means of some new techniques, which extend the corresponding works by some authors. As applications, an infinite p-Laplacian-like differential system is investigated, from which we construct an infinite family of m-accretive mappings and discuss the connections between the equilibrium solution of the differential systems and the zero point of the m-accretive mappings.