On the convergence of solutions of inclusions containing maximal monotone and generalized pseudomonotone mappings. (September 2016)

• Record Type: Journal Article
• Authors: Le, Vy Khoi
• Is Part Of: Nonlinear analysis. Volume 143(2016)
• Page Start: 64
• Page End: 88
• Publication Date: 2016-09
• Subjects: 58E35 -- 47J20 -- 47J25 -- 35J87; Multivalued mapping -- Maximal monotone mapping -- Generalized pseudomonotone mapping -- Mapping of class (S)+; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.05.003
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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 ) ∋ 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 ∈ X ∗ . We study appropriate kinds of convergence for A k and B k such that a limit of a sequence of solutions of these inclusions is also a solution of the limit inclusion.