Title

On the Convergence of Solutions of Inclusions Containing Maximal Monotone and Generalized Pseudomonotone Mappings

Abstract

We are concerned in this paper with the existence, boundedness, and the convergence of solutions to a sequence of inclusions Ak(u)+Bk(u) ∋ Lk, where Ak is a maximal monotone mapping, Bk is a generalized pseudomonotone mapping defined on a reflexive Banach space X, and Lk ∈ 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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Banach spaces; A-maximal monotone mapping; Boundedness; Convergence of solutions; Maximal monotone mapping; Maximal monotones; Multivalued mappings; Pseudomonotone mapping; Reflexive Banach spaces; Mapping; Generalized pseudomonotone mapping; Mapping of class (S)+

International Standard Serial Number (ISSN)

0362-546X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 Elsevier, All rights reserved.

Publication Date

01 Sep 2016

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