Abstract

We are concerned in this article with the existence of solutions to inclusions containing generalized pseudomonotone perturbations of maximal monotone mappings in general Banach spaces. Our approach is based on a truncation–regularization technique and an extension of the Moreau–Yosida–Brezis–Crandall–Pazy regularization for maximal monotone mappings in general Banach spaces. We also consider some applications to multivalued variational inequalities containing elliptic operators with rapidly growing coefficients in Orlicz–Sobolev spaces.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Monotone mapping; Multivalued mapping; Nonreflexive Banach space; Orlicz–Sobolev space; Variational inequality

International Standard Serial Number (ISSN)

1573-2878; 0022-3239

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2023 Springer, All rights reserved.

Publication Date

01 Feb 2022

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