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On a Generalized Hemivariational Inequality on Banach Spaces

On a Generalized Hemivariational Inequality on Banach Spaces In this paper we prove two existence theorems for a generalized hemivariational inequality involving set-valued mappings of two variables in Banach spaces. In order to prove the results, we make use of the well-known Ky Fan’s Intersection Theorem and Simon’s Minimax Theorem. To illustrate the generality and applicability of the two existence theorems, several applications are provided at the end of the paper. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

On a Generalized Hemivariational Inequality on Banach Spaces

Croicu, Ana-Maria; Kolumbán, József
Results in Mathematics , Volume 73 (2) – May 31, 2018
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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
DOI
10.1007/s00025-018-0848-z
Publisher site
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Abstract

In this paper we prove two existence theorems for a generalized hemivariational inequality involving set-valued mappings of two variables in Banach spaces. In order to prove the results, we make use of the well-known Ky Fan’s Intersection Theorem and Simon’s Minimax Theorem. To illustrate the generality and applicability of the two existence theorems, several applications are provided at the end of the paper.

Journal

Results in Mathematics – Springer Journals

Published: May 31, 2018

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