On the convergence of solutions of inclusions containing maximal monotone and generalized pseudomonotone mappings

We are concerned in this paper with the existence, boundedness, and the convergence of solutions to a sequence of inclusions A(k) (u) + B-k (u) (sic) L-k, where A(k) is a maximal monotone mapping, B-k is a generalized pseudomonotone mapping defined on a reflexive Banach space X, and L-k is an element of X*. We study appropriate kinds of convergence for Ak and Bk such that a limit of a sequence of solutions of these inclusions is also a solution of the limit inclusion. (C) 2016 Elsevier Ltd. All rights reserved.