Existence Results for Quasi-Variational Inequalities with Multivalued Perturbations of Maximal Monotone Mappings

Abstract

This paper is about the existence of solutions of the following abstract quasi-variational inequality:(Formula presented.). where X is a reflexive Banach space, A is a maximal monotone mapping, F is a multivalued mapping which is compact in certain sense, and Ju is a convex and lower semicontinuous functional depending on u. We are interested in solvability conditions for the above inequality that extends those for a class of boundary value problems containing elliptic operators with multivalued coefficients.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Mapping of class (S)+; Maximal monotone mapping; Multivalued mapping; Quasi-variational inequality

International Standard Serial Number (ISSN)

1422-6383; 1420-9012

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 Springer Verlag, All rights reserved.

Publication Date

01 Feb 2017

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